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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Feigin, B., Kirillov, A.N., Loktev, S.: Combinatorics and geometry of higher level Weyl modules. Moscow Seminar on Mathematical Physics. II. Am. Math. Soc. Transl. Ser. 2 \textbf{221}, 33-47; American Mathematical Society, Providence (2007) Loop groups and related constructions, group-theoretic treatment, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Elisha Falbel, Gábor Francsics, and John R. Parker, The geometry of the Gauss-Picard modular group, Math. Ann. 349 (2011), no. 2, 459 -- 508. Modular and Shimura varieties, Discrete subgroups of Lie groups, Structure of modular groups and generalizations; arithmetic groups, Classical groups, Linear algebraic groups over global fields and their integers, Differential geometry of symmetric spaces, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Groups with a \(BN\)-pair; buildings, Linear algebraic groups over local fields and their integers, Formal groups, \(p\)-divisible groups
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Families, moduli of curves (analytic), Cohomology of Lie (super)algebras, Infinite-dimensional Lie (super)algebras, Applications of Lie (super)algebras to physics, etc., Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Applications of deformations of analytic structures to the sciences, Topological field theories in quantum mechanics
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Varieties and morphisms, Affine algebraic groups, hyperalgebra constructions, General properties and structure of other Lie groups, Semisimple Lie groups and their representations
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A. Eskin, S. Mozes, and N. Shah, Unipotent flows and counting lattice points on homo geneous varieties, \textit{Ann. of Math. }143 (1996), 253--299. Lattice points in specified regions, Homogeneous spaces and generalizations, Discrete subgroups of Lie groups, Ergodic theory on groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) W. Pfautsch, Die Köcher der Frobeniuskerne der \( \mathrm {SL}_2\). Dissertation, Universität Bielefeld, 1983. Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Group schemes, Affine algebraic groups, hyperalgebra constructions, Representation theory of associative rings and algebras
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Sontag, E. D.: A remark on bilinear systems and moduli spaces of instantons. Systems control letters 9, 361-368 (1987) Algebraic methods, Valuations, completions, formal power series and related constructions (associative rings and algebras), Nonlinear systems in control theory, Affine algebraic groups, hyperalgebra constructions, Vector and tensor algebra, theory of invariants, Representation theory of associative rings and algebras, Minimal systems representations, Constructive quantum field theory
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) I. Satake: Flat structure for the simple elliptic singularity of type \(\tilde{E}_{6}\) and Jacobi form , Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), 247-251. Deformations of complex singularities; vanishing cycles, Period matrices, variation of Hodge structure; degenerations, Local structure of morphisms in algebraic geometry: étale, flat, etc., Infinite-dimensional Lie (super)algebras, Singularities in algebraic geometry
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Group actions on varieties or schemes (quotients), Toric varieties, Newton polyhedra, Okounkov bodies, Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Linear algebraic groups over finite fields, Arithmetic algebraic geometry (Diophantine geometry), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), (Equivariant) Chow groups and rings; motives
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Helmke, S.; Slodowy, P.: On unstable principal bundles over elliptic curves, Publ. res. Inst. math. Sci. 37, 349-395 (2001) Loop groups and related constructions, group-theoretic treatment, Vector bundles on curves and their moduli, Linear algebraic groups over the reals, the complexes, the quaternions, Loops, quasigroups, Virasoro and related algebras
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Rubenthaler, H.; Schiffmann, G., Opérateurs différentiels de Shimura et espaces préhomogènes, Invent. Math., 90, 409-442, (1987) Theta series; Weil representation; theta correspondences, Graded Lie (super)algebras, Homogeneous spaces and generalizations, Discrete subgroups of Lie groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) N.\ A. Karpenko, Upper motives of algebraic groups and incompressibility of Severi-Brauer varieties, J. reine angew. Math. 677 (2013), 179-198. (Equivariant) Chow groups and rings; motives, Brauer groups of schemes, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Edward Frenkel and Dennis Gaitsgory, \?-modules on the affine flag variety and representations of affine Kac-Moody algebras, Represent. Theory 13 (2009), 470 -- 608. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Commutative rings of differential operators and their modules, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Ting Xue, Nilpotent orbits in classical Lie algebras over \?_{2\(^{n}\)} and the Springer correspondence, Proc. Natl. Acad. Sci. USA 105 (2008), no. 4, 1126 -- 1128. Group actions on varieties or schemes (quotients), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Otsubo, T, Algebraic surfaces derived from quaternion algebras over real quadratic fields, Saitama Math. J., 3, 1-10, (1985) Homogeneous spaces and generalizations, Quaternion and other division algebras: arithmetic, zeta functions, Arithmetic ground fields for surfaces or higher-dimensional varieties, Discrete subgroups of Lie groups
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Freed, D.: Flag manifolds and infinite dimensional Kähler geometry. Infinite dimensional groups (1985) Infinite-dimensional Lie groups and their Lie algebras: general properties, Differential geometry of symmetric spaces, Fredholm structures on infinite-dimensional manifolds, Grassmannians, Schubert varieties, flag manifolds, Infinite loop spaces, Infinite-dimensional Lie (super)algebras
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A. Gorodnik, H. Oh and N. Shah, Integral points on symmetric varieties and Satake compactifications, American Journal of Mathematics 131 (2009), 1--57. Homogeneous spaces and generalizations, Rational points, Discrete subgroups of Lie groups, Group actions on varieties or schemes (quotients), Modular and Shimura varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Group actions on varieties or schemes (quotients), Discrete subgroups of Lie groups, Rational and ruled surfaces, Other geometric groups, including crystallographic groups
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) DOI: 10.14231/AG-2014-025 Group actions on varieties or schemes (quotients), Linear algebraic groups over local fields and their integers, Non-Archimedean valued fields, \(p\)-adic and power series fields
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, Groups with a \(BN\)-pair; buildings, Other algebraic groups (geometric aspects), Representations of Lie and linear algebraic groups over local fields
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) J.P. Serre, \textit{Lie Algebras and Lie Groups}, Lect. Notes Math. volume 1500, Springer (1992). Lie algebras and Lie superalgebras, Lie groups, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to nonassociative rings and algebras, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups, Quantum groups (quantized enveloping algebras) and related deformations, Simple, semisimple, reductive (super)algebras, Formal groups, \(p\)-divisible groups, Identities, free Lie (super)algebras, Solvable, nilpotent (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Damianou, P. A.; Sabourin, H.; Vanhaecke, P.: Transverse Poisson structures to adjoint orbits in semisimple Lie algebras, Pacific J. Math. 232, No. 1, 111-138 (2007) Poisson manifolds; Poisson groupoids and algebroids, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Singularities of surfaces or higher-dimensional varieties
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Modular and Shimura varieties, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over local fields and their integers
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Loop groups and related constructions, group-theoretic treatment, Grassmannians, Schubert varieties, flag manifolds
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Vasiu A., Extension theorems for reductive group schemes, preprint 2012, . Group schemes, Arithmetic aspects of modular and Shimura varieties, \(p\)-adic cohomology, crystalline cohomology, Modular and Shimura varieties, Algebraic moduli of abelian varieties, classification, Affine algebraic groups, hyperalgebra constructions, Lie algebras of linear algebraic groups
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Serre, J-P.: Le groupe de Cremona et ses sous-groupes finis. Séminaire Bourbaki. Volume 2008/2009. Astérisque No. 332, Exp. No. 1000, vii, 75-100 (2010) Affine algebraic groups, hyperalgebra constructions, Birational automorphisms, Cremona group and generalizations, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Arithmetic theory of algebraic function fields, Affine algebraic groups, hyperalgebra constructions, Structure of modular groups and generalizations; arithmetic groups
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Varieties and morphisms, Affine algebraic groups, hyperalgebra constructions, General properties and structure of other Lie groups, Semisimple Lie groups and their representations
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A. Ash, D. Mumford, M. Rapoport, and Y.-S. Tai, \textit{Smooth Compactifications} \textit{of Locally Symmetric Varieties}. Second edition. With the collaboration of Peter Scholze. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 2010.Zbl 1209.14001 MR 2590897 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes, Global theory and resolution of singularities (algebro-geometric aspects), Lie groups, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Compactifications; symmetric and spherical varieties, Collected or selected works; reprintings or translations of classics, Discrete subgroups of Lie groups, Differential geometry of symmetric spaces, Discontinuous groups of transformations
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Feigin, B., Finkelberg, M., Frenkel, I., Rybnikov, L.: Gelfand--Tsetlin algebras and cohomology rings of Laumon spaces. arXiv math/0806.0072 (preprint) Algebraic moduli problems, moduli of vector bundles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Universal enveloping (super)algebras
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Grassmannians, Schubert varieties, flag manifolds, Algebraic groups, Semisimple Lie groups and their representations, Discrete subgroups of Lie groups
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Algebraic moduli of abelian varieties, classification, Infinite-dimensional Lie (super)algebras, Heat equation, Theta functions and abelian varieties, Infinite-dimensional manifolds
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) B. Poizat, \textit{Groupes Stables}, Nur Al-mantiq Wal-Ma'rifah, Vol. 2, Bruno Poizat, Lyon, 1987. Classification theory, stability, and related concepts in model theory, Model-theoretic algebra, Affine algebraic groups, hyperalgebra constructions, Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) doi:10.1515/crll.2003.062 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Cohomology of arithmetic groups, Discrete subgroups of Lie groups, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Pratoussevitch, Anna: Polyedrische fundamentalbereiche diskreter untergruppen von SU\~(1,1), Bonner math. Schriften 346 (2001) Homogeneous complex manifolds, Discrete subgroups of Lie groups, Homogeneous spaces and generalizations, Complex surface and hypersurface singularities, Singularities in algebraic geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Simple, semisimple, reductive (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Semisimple Lie groups and their representations
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) R. E. Kottwitz, Isocrystals with additional structure. II, Compos. Math. 109 (1997), no. 3, 255-339. Linear algebraic groups over local fields and their integers, \(p\)-adic cohomology, crystalline cohomology, Galois cohomology, Formal groups, \(p\)-divisible groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Angiono, Iván Ezequiel, A quantum version of the algebra of distributions of {\({\mathrm SL}_2\)}, Publications of the Research Institute for Mathematical Sciences, 54, 1, 141-161, (2018) Affine algebraic groups, hyperalgebra constructions, Quantum groups (quantized enveloping algebras) and related deformations, Hopf algebras and their applications, Linear algebraic groups over arbitrary fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, Modular and Shimura varieties
| 0 |
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Getzler, E.: Cyclic homology and the Beilinson-Manin-Schechtman central extension. Proc. A.M.S.104, 729--734 (1988) Infinite-dimensional Lie (super)algebras, Cohomology of Lie (super)algebras, de Rham cohomology and algebraic geometry, Sheaves of differential operators and their modules, \(D\)-modules, Partial differential equations on manifolds; differential operators
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) C. Fuchs and D. H. Pham, \textit{The \textit{p}-adic analytic subgroup theorem revisited}, \textit{p}-Adic Numbers, Ultrametric Anal. Appl. 7 (2015), 143-156. Transcendence (general theory), \(p\)-adic theory, Group schemes, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kostant, Bertram; Kumar, Shrawan, The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\), Adv. in Math., 62, 3, 187-237, (1986) Cohomology of Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Homology and cohomology of homogeneous spaces of Lie groups, Loop groups and related constructions, group-theoretic treatment
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Algebraic moduli problems, moduli of vector bundles, Parametrization (Chow and Hilbert schemes), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Infinite-dimensional Lie (super)algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Herrlich, F.: Nichtarchimedische Teichmüllerräume. Habilitationsschrift, Bochum 1985 Non-Archimedean analysis, Local ground fields in algebraic geometry, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Linear algebraic groups over local fields and their integers, Free nonabelian groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Hecke algebras and their representations, Infinite-dimensional Lie (super)algebras, Module categories in associative algebras, Deformations of associative rings
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Ordinary differential equations in the complex domain, Compact Riemann surfaces and uniformization, Discrete subgroups of Lie groups, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Invariant metrics and pseudodistances in several complex variables, (Co)homology theory in algebraic geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Nakamura, T.: Finite subgroups of formalA-modules overp-adic integer rings. Trans. Am. Math. Soc.286, 765-769 (1984) Formal groups, \(p\)-divisible groups, Affine algebraic groups, hyperalgebra constructions, Galois theory, Valuations, completions, formal power series and related constructions (associative rings and algebras), Algebraic number theory: local fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) P. Chatterjee, ''On the Power Maps, Orders and Exponentiality of p-Adic Algebraic Groups,'' J. Reine Angew. Math. 629, 201--220 (2009). Linear algebraic groups over local fields and their integers, Classical groups (algebro-geometric aspects), Analysis on \(p\)-adic Lie groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Galois representations, Geometric Langlands program (algebro-geometric aspects), Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Prasad, G.; Yu, J.-K., \textit{on quasi-reductive group schemes}, J. Algebraic Geom., 15, 507-549, (2006) Affine algebraic groups, hyperalgebra constructions, Group schemes
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Tamizhmani, K. M.; Tamizhmani, T.; Ramani, A.; Grammaticos, B., J. Math. Phys., 58, 033506, (2017) Discrete version of topics in analysis, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) D. A. Kazhdan, ''On arithmetic varieties. II,'' Preprint, Inst. for Advanced Study, Princeton (1981). Classical groups (algebro-geometric aspects), Classical groups, Discrete subgroups of Lie groups, Other algebraic groups (geometric aspects), Homogeneous spaces and generalizations, Algebraic moduli problems, moduli of vector bundles
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Helminck, A.G., Helminck, G.F.: The structure of Hilbert flag varieties, Publ. RIMS, Kyoto Univ. 30, 401--441 (1994) Infinite-dimensional Lie groups and their Lie algebras: general properties, Grassmannians, Schubert varieties, flag manifolds, Analysis on other specific Lie groups, Infinite-dimensional Lie (super)algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Symmetry breaking in quantum theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Virasoro and related algebras, Multilinear algebra, tensor calculus, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Étale and other Grothendieck topologies and (co)homologies
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Karpenko N. A., Unitary Grassmannians. J. Pure Appl. Algebra, 216, 2586--2600 (2012) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Liu, D.: Q-conjugacy classes of loop groups. Proc. amer. Math. soc. 140, No. 9, 3297-3311 (2012) Loop groups and related constructions, group-theoretic treatment, Elliptic curves
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Group schemes, Formal methods and deformations in algebraic geometry, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Modular and Shimura varieties, Discrete subgroups of Lie groups, Model theory of ordered structures; o-minimality, Semialgebraic sets and related spaces, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Prehomogeneous vector spaces, Minima of forms, Homogeneous spaces and generalizations, Discrete subgroups of Lie groups, Forms of degree higher than two, General ternary and quaternary quadratic forms; forms of more than two variables
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Simple, semisimple, reductive (super)algebras, Special surfaces, Singularities of surfaces or higher-dimensional varieties, Compact complex surfaces, Infinite-dimensional Lie (super)algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Chernousov, V., Gille, P. and Pianzola, A., Three-point Lie algebras and Grothendieck's dessins d'enfants. arXiv:1311.7097. Infinite-dimensional Lie (super)algebras, Galois cohomology of linear algebraic groups, Dessins d'enfants theory, Group actions on varieties or schemes (quotients), Cohomology theory for linear algebraic groups, Linear algebraic groups over adèles and other rings and schemes
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Braden, T.; Licata, A.; Proudfoot, N.; Webster, B., Quantizations of conical symplectic resolutions II: category O and symplectic duality, Astérisque, 384, 75-179, (2016) Research exposition (monographs, survey articles) pertaining to differential geometry, Deformation quantization, star products, Global theory and resolution of singularities (algebro-geometric aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Poisson algebras, Representation theory of associative rings and algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Universal enveloping (super)algebras, Special varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kucharczyk, Robert A., Modular embeddings and rigidity for Fuchsian groups, Acta Arith., 169, 1, 77-100, (2015) Fuchsian groups and their generalizations (group-theoretic aspects), Structure of modular groups and generalizations; arithmetic groups, Discrete subgroups of Lie groups, Modular and Shimura varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Quantum groups (quantized enveloping algebras) and related deformations, Representation theory for linear algebraic groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Gavarini, F.: The global quantum duality principle. To appear, 2004 Universal enveloping (super)algebras, Affine algebraic groups, hyperalgebra constructions, Universal enveloping algebras of Lie algebras, Lie bialgebras; Lie coalgebras, Poisson algebras, Quantum groups and related algebraic methods applied to problems in quantum theory
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Dabrowski, R.: Kloosterman sums for Chevalley groups. Trans. amer. Math. soc. 337, 757-769 (1993) Gauss and Kloosterman sums; generalizations, Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kapranov, M., Free Lie algebroids and the space of paths, Selecta Math., 13, 277-319, (2007) Noncommutative algebraic geometry, Infinite-dimensional Lie (super)algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Springer T. A., Linear Algebraic Groups, 2nd ed., Progr. Math. 9, Birkhäuser, Boston, 1998. Linear algebraic groups over arbitrary fields, Group varieties, Research exposition (monographs, survey articles) pertaining to group theory, Linear algebraic groups and related topics, Affine algebraic groups, hyperalgebra constructions, Lie algebras of linear algebraic groups, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Classical groups (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Algebraic groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over adèles and other rings and schemes, Simple groups: alternating groups and groups of Lie type, Simple, semisimple, reductive (super)algebras, Associated Lie structures for groups, Group schemes, Subgroup theorems; subgroup growth, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Karpenko, N., \textit{sufficiently generic orthogonal Grassmannians}, J. Algebra, 372, 365-375, (2012) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Helminck, A, On the classification of \(k\)-involutions, Adv. Math., 153, 1-117, (1988) Linear algebraic groups over arbitrary fields, Homogeneous spaces and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Linear algebraic groups over finite fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Charbonnel, J-Y; Zaiter, M, On the commuting variety of a reductive Lie algebra and other related varieties, J. Algebra, 458, 445-497, (2016) Varieties and morphisms, Affine algebraic groups, hyperalgebra constructions, General properties and structure of other Lie groups, Semisimple Lie groups and their representations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) N. A. Karpenko, \textit{TUpper motives of outer algebraic groups}, in: Quadratic Forms, Linear Algebraic Groups, and Cohomology, Dev. Math., Vol. 18, Springer, New York, 2010, pp. 249-257. Affine algebraic groups, hyperalgebra constructions, Algebraic cycles
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, Étale and other Grothendieck topologies and (co)homologies
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions, Grassmannians, Schubert varieties, flag manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Subag, EM; Baruch, EM; Birman, JL; Mann, A., Gabor analysis as contraction of wavelets analysis, J. Math. Phy., 58, 0817021-08170215, (2017) Numerical methods for wavelets, Nontrigonometric harmonic analysis involving wavelets and other special systems, Affine algebraic groups, hyperalgebra constructions, Applications of Lie groups to the sciences; explicit representations, PDEs on Heisenberg groups, Lie groups, Carnot groups, etc., General harmonic expansions, frames
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Florentino, C; Lawton, S, Topology of character varieties of abelian groups, Topol. Appl., 173, 32-58, (2014) Group actions on varieties or schemes (quotients), Topology of real algebraic varieties, Affine algebraic groups, hyperalgebra constructions, Geometric invariant theory, Semisimple Lie groups and their representations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Virasoro and related algebras, Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions, Homogeneous spaces and generalizations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) J.-L. \textsc{Colliot-Thélène}, Un théorème de finitude pour le groupe de Chow des zéro-cycles d'un groupe algébrique linéaire sur un corps \(p\)-adique, \textit{Invent. Math.}, \textbf{159} (2005), 589-606. (Equivariant) Chow groups and rings; motives, Local ground fields in algebraic geometry, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) L. Clozel, ''On limit multiplicities of discrete series representations in spaces of automorphic forms,'' Invent. Math., vol. 83, iss. 2, pp. 265-284, 1986. Semisimple Lie groups and their representations, Discrete subgroups of Lie groups, Representation-theoretic methods; automorphic representations over local and global fields, Harmonic analysis on homogeneous spaces, Arithmetic ground fields for abelian varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kleinian groups (aspects of compact Riemann surfaces and uniformization), Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Conformal metrics (hyperbolic, Poincaré, distance functions), General geometric structures on low-dimensional manifolds, Coverings of curves, fundamental group, Discontinuous groups and automorphic forms, Discrete subgroups of Lie groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Algebraic theory of abelian varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Grassmannians, Schubert varieties, flag manifolds, Quadratic and Koszul algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Abelian categories, Grothendieck categories, Derived categories, triangulated categories, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Capparelli, S.: The Jordan canonical form in some \({\theta}\)-groups. Rend. mat. (7) 11, 777-808 (1991) Linear algebraic groups over the reals, the complexes, the quaternions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Semisimple Lie groups and their representations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Borho, W., Brylinski, J.L., MacPherson, R.: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes. Progress in Mathematics, vol. 78. Birkhäuser, Boston (1989) Universal enveloping (super)algebras, Homogeneous spaces and generalizations, Representation theory for linear algebraic groups, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Research exposition (monographs, survey articles) pertaining to topological groups, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Nicaise, J.: Motivic invariants of algebraic tori, Proc. amer. Math. soc. 139, 1163-1174 (2011) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Linear algebraic groups over local fields and their integers, Étale and other Grothendieck topologies and (co)homologies
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Birational automorphisms, Cremona group and generalizations, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homogeneous spaces and generalizations, Differential geometry of homogeneous manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Koca, M.; Koca, N. O.; Koc, R., Affine A_{4}, quaternions, and decagonal quasicrystals, Int. J. Geom. Methods Mod. Phys., 11, 1450031, (2014) Automorphism groups of lattices, Affine algebraic groups, hyperalgebra constructions, Division algebras and Jordan algebras, Reflection and Coxeter groups (group-theoretic aspects), Quasicrystals and aperiodic tilings in discrete geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Viehmann, Eva, The dimension of some affine Deligne-Lusztig varieties, Ann. Sci. École Norm. Sup. (4), 39, 3, 513-526, (2006) Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over local fields and their integers, Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) DOI: 10.1007/s00031-005-1133-2 Automorphism groups of \(\mathbb{C}^n\) and affine manifolds, Affine algebraic groups, hyperalgebra constructions, Group actions on varieties or schemes (quotients)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of quivers and partially ordered sets, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Group actions on affine varieties, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Deformation quantization, star products, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro and related algebras, Cohomology of Lie (super)algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Ed Cline, Brian Parshall, and Leonard Scott, A Mackey imprimitivity theory for algebraic groups, Math. Z. 182 (1983), no. 4, 447-471. Affine algebraic groups, hyperalgebra constructions, Representation theory for linear algebraic groups
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