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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) Lusztig, G.: Parabolic character sheaves, III. Mosc. Math. J. \textbf{10}(3), 603-609, 662 (2010) Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Group actions on varieties or schemes (quotients), 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) L. MOCI, Geometry and Combinatorics of toric arrangements, Tesi di Dottorato (Ph.D. Thesis), Universitá di Roma Tre, March 2010. Enumerative problems (combinatorial problems) in algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Linear algebraic groups over the reals, the complexes, the quaternions
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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), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of quivers and partially ordered sets
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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) S. Cho, Group schemes and local densities of ramified hermitian lattices in residue characteristic 2: Part I, Algebra Number Theory 10 (2016), no. 3, 451-532. Class numbers of quadratic and Hermitian forms, \(p\)-adic theory, Group schemes, Linear algebraic groups over local fields and their integers, Bilinear and Hermitian forms, Classical 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) Other matrix groups over fields, Linear algebraic groups over the reals, the complexes, the quaternions, Affine algebraic groups, hyperalgebra constructions, Diagonalization, Jordan forms
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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) K. G. Kuyumzhiyan, ''Simple modules of classical linear groups with normal closures of maximal torus orbits,'' Sibirsk. Mat. Zh. (in press); arXiv: 1009.4724v2. Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies, 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) Winkelmann, J., Complex analytic geometry of complex parallelizable manifolds, Mém. Soc. Math. Fr., vol. 72-73, (1998), Soc. Math. France Montrouge Homogeneous complex manifolds, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Discrete subgroups of Lie groups, Research exposition (monographs, survey articles) pertaining to topological groups, Automorphisms of curves, Complex multiplication and abelian varieties, Group actions on varieties or schemes (quotients), Linear algebraic groups over the reals, the complexes, the quaternions, Complex manifolds, Deformations of complex structures, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Compact analytic spaces, Discontinuous groups of transformations
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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) Sheaves in algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Structure theory for Lie algebras and superalgebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups
| 0
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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, NA, Orthogonal and symplectic Grassmannians of division algebras, J. Ramanujan Math. Soc., 28, 213-222, (2013) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles, (Equivariant) Chow groups and rings; motives, Homogeneous spaces and generalizations
| 0
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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) Hopf algebras and their applications, Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups and related topics
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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) A. G. Helminck and G. F. Helminck, \(H_k\)-fixed distributionvectors for representations related to \(\mathfrak p\)-adic symmetric varieties, To appear. Infinite-dimensional Lie groups and their Lie algebras: general properties, Analysis on \(p\)-adic Lie groups, 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) Local ground fields in algebraic geometry, \(p\)-adic differential equations, Algebraic functions and function fields in algebraic geometry, Affine algebraic groups, hyperalgebra constructions
| 0
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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, Homogeneous spaces and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, Classical groups (algebro-geometric aspects), Affine algebraic groups, hyperalgebra constructions
| 0
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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) O. K. Sheinman, ''On Certain Current Algebras Related to Finite-Zone Integration,'' in Geometry, Topology, and Mathematical Physics: S.P. Novikov's Seminar 2006--2007, Ed. by V. M. Buchstaber and I. M. Krichever (Am. Math. Soc., Providence, RI, 2008), AMS Transl., Ser. 2, 224, pp. 271--284. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Loop groups and related constructions, group-theoretic treatment, Vector bundles on curves and their moduli, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Differentials on Riemann surfaces, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Lie algebras of vector fields and related (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) Group actions on affine varieties, Clifford algebras, spinors, Affine algebraic groups, hyperalgebra constructions, Line geometries and their generalizations
| 0
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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) Discrete subgroups of Lie groups, Geometric invariant theory, Metric theory
| 0
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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) Arithmetic ground fields for abelian varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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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
| 0
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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) A. N. Parshin, ``The Bruhat -- Tits buildings over higher dimensional local fields'', Invitation to higher local fields (Mu\"nster, August -- September, 1999), Geom. Topol. Monogr., 3, Geom. Topol. Publ., Coventry, 2000, 223 -- 237 (electronic) Groups with a \(BN\)-pair; buildings, Linear algebraic groups over local fields and their integers, Hypersurfaces and algebraic geometry
| 0
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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) Infinite-dimensional Lie groups and their Lie algebras: general properties, Infinite-dimensional Lie (super)algebras, Grassmannians, Schubert varieties, flag manifolds
| 0
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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) Jane Gilman and Linda Keen, Word sequences and intersection numbers, Complex manifolds and hyperbolic geometry (Guanajuato, 2001) Contemp. Math., vol. 311, Amer. Math. Soc., Providence, RI, 2002, pp. 231 -- 249. Compact Riemann surfaces and uniformization, Coverings of curves, fundamental group, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Kleinian groups (aspects of compact Riemann surfaces and uniformization), Discontinuous groups and automorphic forms, Discrete subgroups of Lie groups, Fuchsian groups and their generalizations (group-theoretic aspects)
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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. Casian, Kazhdan-Lusztig multiplicity formulas for Kac-Moody algebras , C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 6, 333-337. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, 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) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc., Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Gröbner-Shirshov bases, Semisimple Lie groups and their representations, Loop groups and related constructions, group-theoretic treatment
| 0
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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) Yun, Z.: The spherical part of the local and global Springer actions. Math. ann. 359, No. 3-4, 557-594 (2014) Vector bundles on curves and their moduli, Grassmannians, Schubert varieties, flag manifolds, Reflection and Coxeter groups (group-theoretic 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) Group actions on varieties or schemes (quotients), Discrete subgroups of Lie groups, Finite ground fields in algebraic geometry, Representations of finite groups of Lie type, Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups, 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) Interpolation, preservation, definability, Models of other mathematical theories, Applications of model theory, Valued fields, Rigid analytic geometry, Analysis on \(p\)-adic Lie groups, Model theory of ordered structures; o-minimality, Other classical first-order model theory, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), \(p\)-adic theory, local fields, Local ground fields in algebraic geometry, Linear algebraic groups over local fields and their integers, Representations of Lie and linear algebraic groups over local fields
| 0
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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. Morse. ''Combinatorics of the K-theory of affine Grassmannians''. Adv. Math. 229 (2012), pp. 2950--2984.DOI. Symmetric functions and generalizations, Combinatorial aspects of representation theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Infinite-dimensional Lie (super)algebras
| 0
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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) 1 A. Aizenbud and N. Avni, 'Representation growth and rational singularities of the moduli space of local systems', \textit{Invent. Math.}204 (2016) 245-316. MR 3480557. Algebraic moduli problems, moduli of vector bundles, Singularities in algebraic geometry, Asymptotic properties of groups, Linear algebraic groups over local fields and their integers, Deformations of singularities, Symplectic structures of moduli spaces
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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) A. Iqbal and C. Kozcaz, \textit{Refined Topological Strings and Toric Calabi-Yau Threefolds}, arXiv:1210.3016 [INSPIRE]. Infinite-dimensional Lie (super)algebras, Analytic theory of abelian varieties; abelian integrals and differentials, Infinite-dimensional Lie groups and their Lie algebras: general properties
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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, Arithmetic aspects of modular and Shimura varieties, Linear algebraic groups over local fields and their integers, Étale and other Grothendieck topologies and (co)homologies
| 0
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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 E.: Connected components of affine Deligne--Lusztig varieties. Math. Ann. 340, 315--333 (2008) Grassmannians, Schubert varieties, flag manifolds, Algebraic moduli problems, moduli of vector bundles, Formal groups, \(p\)-divisible groups, Linear algebraic groups over local fields and their integers
| 0
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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) Misra, K., Wilson, E.: On tensor product decomposition of \(\hat {\mathfrak {sl}}(n)\)-modules. Journal of Algebra and its Applications \textbf{12}. 10.1142/S0219498813500540 (2013) Combinatorial aspects of representation theory, Theta functions and curves; Schottky problem, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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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., Hypertoric category \(\mathcal{O}\), Adv. Math., 231, 3-4, 1487-1545, (2012) Rings of differential operators (associative algebraic aspects), Universal enveloping algebras of Lie algebras, Universal enveloping (super)algebras, Toric varieties, Newton polyhedra, Okounkov bodies, Representations of associative Artinian rings, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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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 and related algebraic methods applied to problems in quantum theory, Covariant wave equations in quantum theory, relativistic quantum mechanics, Commutation relations and statistics as related to quantum mechanics (general), Affine algebraic groups, hyperalgebra constructions, General theory of von Neumann algebras
| 0
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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) Other connections, Sub-Riemannian geometry, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Semisimple Lie groups and their representations, General geometric structures on manifolds (almost complex, almost product structures, etc.), Differential geometry of homogeneous manifolds, Natural bundles, Invariance and symmetry properties for PDEs on manifolds, Nonlinear systems in control theory
| 0
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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) Homogeneous flows, Semisimple Lie groups and their representations, Geometric invariant theory, Structure theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Linear algebraic groups over the reals, the complexes, the quaternions, Discrete subgroups of Lie groups
| 0
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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) Pseudodifferential operators, 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
| 0
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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) T. Xue, Nilpotent orbits in classical Lie algebras over finite fields of characteristic \( 2\) and the Springer correspondence, Represent. Theory 13 (electronic), (2009), 371-390. Coadjoint orbits; nilpotent varieties, Classical groups (algebro-geometric aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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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) Panyushev, D. I.: Long abelian ideals. Adv. math. 186, 307-316 (2004) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on varieties or schemes (quotients), Universal enveloping (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) Infinite-dimensional Lie (super)algebras, Graded Lie (super)algebras, Finite ground fields in algebraic geometry, Vector bundles on curves and their moduli
| 0
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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) Non-Archimedean analysis, Homogeneous spaces and generalizations, Linear algebraic groups over local fields and their integers
| 0
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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) А. Н. Паршин, ``Векторные расслоения и арифметические группы. I'', Теория чисел, алгебра и алгебраическая геометрия, Сборник статей. К семидесятилетию со дня рождения академика Игоря Ростиславовича Шафаревича, Тр. МИАН, 208, Наука, Физматлит, М., 1995, 240 -- 265 Groups with a \(BN\)-pair; buildings, Linear algebraic groups over local fields and their integers, Buildings and the geometry of diagrams, Groups acting on trees
| 0
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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) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Linear algebraic groups over local fields and their integers, Grassmannians, Schubert varieties, flag manifolds, Witt vectors and related rings
| 0
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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) Muthiah, D., Double MV cycles and the naito-sagaki-Saito crystal, Adv. Math., (2013) Linear algebraic groups over the reals, the complexes, the quaternions, Kac-Moody groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Quantum groups (quantized enveloping algebras) and related deformations
| 0
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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) Homogeneous spaces and generalizations, Holomorphic symplectic varieties, hyper-Kähler varieties, Discrete subgroups of Lie groups, Homogeneous flows, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, 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) C. Özel, ``On the cohomology ring of the infinite flag manifold LG/T,'' Turkish Journal of Mathematics, vol. 22, no. 4, pp. 415-448, 1998. Cohomology of Lie (super)algebras, Homology and cohomology of homogeneous spaces of Lie groups, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, 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) Yau, S S T, Classification of Jacobian ideals invariant by sl(2, \(\mathbb{C}\)) actions, Mem Amer Math Soc, 72, 180, (1998) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Singularities in algebraic geometry, Local complex singularities
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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), Grassmannians, Schubert varieties, flag manifolds, Simple, semisimple, reductive (super)algebras, Representation theory for linear algebraic groups, Linear algebraic groups over global 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) Linear algebraic groups over arbitrary fields, Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Lie algebras of linear 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) Beardon A. F., The Geometry of Discrete Groups [Russian translation], Nauka, Moscow (1986). Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Research exposition (monographs, survey articles) pertaining to group theory, Fuchsian groups and their generalizations (group-theoretic aspects), Associated Lie structures for groups, Group actions on varieties or schemes (quotients), Classical groups (algebro-geometric aspects), 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) Prasad, G.; Rapinchuk, A. S., Local-global principles for embedding of fields with involution into simple algebras with involution, Comment. Math. Helv., 85, 583-645, (2010) Classical groups, Classical groups (algebro-geometric aspects), Finite-dimensional division rings, Linear algebraic groups over global fields and their integers, Discrete subgroups of Lie groups, Differential geometry of symmetric spaces
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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) Grassmannians, Schubert varieties, flag manifolds, Group schemes, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Simple, semisimple, reductive (super)algebras, Linear algebraic groups over arbitrary fields, 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) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Riemann surfaces; Weierstrass points; gap sequences, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Loop groups and related constructions, group-theoretic treatment, Differentials on Riemann surfaces, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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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) Siebert, T., Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0, \textit{Math. Ann.}, 305, 271-286, (1996) Lie algebras of vector fields and related (super) algebras, Derivations, actions of Lie algebras, Lie (super)algebras associated with other structures (associative, Jordan, etc.), Infinite-dimensional Lie (super)algebras, Varieties and morphisms
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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) B.~Kostant, \emph{The cascade of orthogonal roots and the coadjoint structure of the nilradical of a {B}orel subgroup of a semisimple {L}ie group}, Mosc. Math. J. \textbf{12} (2012), no.~3, 605--620, 669. \href{https://mathscinet.ams.org/mathscinet-getitem?mr=MR3024825}{MR3024825}; zbl 1260.14058; arxiv 1101.5382 Group actions on varieties or schemes (quotients), Geometric invariant theory, Homogeneous spaces and generalizations, Coadjoint orbits; nilpotent 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) 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
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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 and linear algebraic groups over local fields, Analysis on \(p\)-adic Lie 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) W. T. \textsc{Gan} and J.-K. \textsc{Yu}, Schémas en groupes et immeubles des groupes exceptionnels sur un corps local. II. Les groupes \(F_{4}\) et \(E_{6}\), \textit{Bull. Soc. Math. Fr.}, \textbf{133} (2005), 159-197. Group schemes, Other algebraic groups (geometric aspects), Representations of Lie and linear algebraic groups over local fields, Multiply transitive finite groups, Linear algebraic groups over local fields and their integers, Groups with a \(BN\)-pair; buildings
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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) Finkelberg, M. V.; Kubrak, D. V., Vanishing cycles on Poisson varieties, Funct. Anal. Appl.. Funct. Anal. Appl., Funktsional. Anal. i Prilozhen., 49, 2, 70-78, (2015), Translation of Grassmannians, Schubert varieties, flag manifolds, Loop groups and related constructions, group-theoretic treatment, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Poisson manifolds; Poisson groupoids and algebroids, Vanishing theorems 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) Affine algebraic groups, hyperalgebra constructions, Automorphisms, derivations, other operators for Lie algebras and super algebras, Lie algebras of linear algebraic groups, Linear algebraic groups over the reals, the complexes, the quaternions
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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) Childs, L. N.; Zimmermann, K.: Congruence-torsion subgroups of dimension one formal groups. J. algebra 170, 929-955 (1994) Formal groups, \(p\)-divisible 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) James S. Milne, Algebraic groups. The theory of group schemes of finite type over a field, Cambridge University Press, 2017, also available at Research exposition (monographs, survey articles) pertaining to algebraic geometry, Group schemes, Group varieties, Affine algebraic groups, hyperalgebra constructions, Group actions on varieties or schemes (quotients), Hopf algebras and their applications, Lie algebras of linear 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) J.M. Landsberg and L. Manivel, \textit{Series of Lie Groups}, \textit{Michigan Math. J.}\textbf{52} (2004) 453 [math/0203241]. Exceptional (super)algebras, 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) 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, Pseudodifferential and Fourier integral operators on 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) Rigid analytic geometry, Iwasawa theory, Ideals in associative algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group rings, Valuations, completions, formal power series and related constructions (associative rings and algebras), Analysis on \(p\)-adic Lie groups, Lie algebras 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) Affine algebraic groups, hyperalgebra constructions, Modular Lie (super)algebras, Lie algebras of linear 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) Quantum groups (quantized enveloping algebras) and related deformations, Linear algebraic groups over local fields and their integers, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (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) Malkin, A.: Tensor product varieties and crystals: the ADE case. Duke Math. J. \textbf{116}(3), 477-524 (2003). arXiv:0103025 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) Rapinchuk, A. S., The congruence subgroup problem for algebraic groups and strong approximation for affine varieties, Dokl. Akad. Nauk BSSR, 32, 581-584, (1988) Linear algebraic groups over global fields and their integers, Unimodular groups, congruence subgroups (group-theoretic aspects), 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) Arakawa, T., Malikov, F.: A chiral Borel-Weil-Bott theorem. Adv. Math. \textbf{229}(5), 2908-2949 (2012). arXiv:0903.1281 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Infinite-dimensional Lie groups and their Lie algebras: general properties, Sheaf cohomology in algebraic topology
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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) Smilga, I.: Proper affine actions on semisimple Lie algebras. arXiv:1406.5906 Discrete subgroups of Lie groups, Linear algebraic groups over finite fields, Linear algebraic groups over the reals, the complexes, the quaternions, Classical groups (algebro-geometric aspects), Other geometric groups, including crystallographic groups, Simple, semisimple, reductive (super)algebras, Automorphisms, derivations, other operators for Lie algebras and 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) D. Gaitsgory, unpublished notes. External book reviews, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules, Semisimple Lie groups and their representations, de Rham cohomology and algebraic geometry, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces
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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) Doty, Stephen R., The submodule structure of certain Weyl modules for groups of type \(A_n\), J. Algebra, 0021-8693, 95, 2, 373-383, (1985) Linear algebraic groups over arbitrary fields, 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) P. Slodowy: Beyond Kac-Moody algebras, and inside (to appear in the Proceedings of the ''Windsor Lie Algebra Conference''. Windsor, Ontario (1984)) (a revised version of Infinite-dimensional Lie (super)algebras, Simple, semisimple, reductive (super)algebras, Deformations of singularities
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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) Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Combinatorial aspects of commutative algebra
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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) Compact complex surfaces, Special surfaces, Discrete subgroups of Lie groups, Complex singularities
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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) Grassmannians, Schubert varieties, flag manifolds, 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) Aleksandr Vasilievich Borovik and Bruno Petrovich Poizat, Tores et \?-groupes, J. Symbolic Logic 55 (1990), no. 2, 478 -- 491 (French). Model-theoretic algebra, Applications of logic to group theory, Special surfaces, Solvable groups, supersolvable groups, 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) Jr., D. A. Vogan: Unipotent representations and cohomological induction. Contemporary math. 154, 47-70 (1993) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Semisimple Lie groups and their representations, Applications of Lie groups to the sciences; explicit representations, Vanishing theorems in algebraic geometry, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), Local cohomology of analytic spaces, Hyperbolic and Kobayashi hyperbolic 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) Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Linear algebraic groups over arbitrary fields, Subgroup theorems; subgroup growth
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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) Hopf algebras and their applications, Connections of Hopf algebras with combinatorics, Affine algebraic groups, hyperalgebra constructions, Connections of group theory with homological algebra and category theory, Valuations, completions, formal power series and related constructions (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) F. \textsc{Bruhat} and J. \textsc{Tits}, Schémas en groupes et immeubles des groupes classiques sur un corps local. II. Groupes unitaires, \textit{Bull. Soc. Math. Fr.}, \textbf{115} (1987), 141-195. Linear algebraic groups over local fields and their integers, Group schemes, Classical groups (algebro-geometric aspects), Division rings and semisimple Artin rings, Quadratic forms over local rings and 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) Difference algebra, Modules of differentials, Hopf algebras and their applications, 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) Donkin S.: Infinitesimal invariants of algebraic groups. J. Lond. Math. Soc. (2) 45(3), 481--490 (1992) Representation theory for linear algebraic groups, Group rings of infinite groups and their modules (group-theoretic aspects), Affine algebraic groups, hyperalgebra constructions, Vector and tensor algebra, theory of invariants
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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) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Vertex operators; vertex operator algebras and related structures, Moduli problems for differential geometric structures, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Groups and algebras in quantum theory and relations with integrable systems, 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) Generators, relations, and presentations of groups, Fuchsian groups and their generalizations (group-theoretic aspects), Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Compact Riemann surfaces and uniformization, Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces, 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) [H1] V. Hinich,Onthe singularities of nilpotent orbits, Israel Journal of Mathematics73 (1991), 297--308. Complete intersections, Global theory and resolution of singularities (algebro-geometric aspects), 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) Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Infinite-dimensional Lie (super)algebras, Infinite-dimensional Lie groups and their Lie algebras: general properties
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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) Doty, S.R.; Sullivan, J.B.: On the geometry of extensions of irreducible modules for simple algebraic groups. Pacific J. Math. 130, 253-273 (1987) Affine algebraic groups, hyperalgebra constructions, Representation theory for linear 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) M. Chen, M. Kisin, and E. Viehmann, Connected components of affine Deligne-Lusztig varieties in mixed characteristic , to appear in Compos. Math., preprint, [math.AG]. arXiv:1307.3845v2 Modular and Shimura varieties, 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) DOI: 10.1023/A:1009968402535 Representation theory for linear algebraic groups, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Group schemes, 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) G. Prasad and M. S. Raghunathan, ''Topological central extensions of semisimple groups over local fields,'' Ann. Math. 119, 143--201, 203--268 (1984). Linear algebraic groups over local fields and their integers, Group schemes, Cohomology theory for linear algebraic groups, General properties and structure of other Lie groups, Coverings 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) 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
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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) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Categorification, Holomorphic symplectic varieties, hyper-Kähler 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) Combinatorial aspects of representation theory, Combinatorial identities, bijective combinatorics, Directed graphs (digraphs), tournaments, 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) H. Boseck, Classical Lie supergroups, Math. Nachr. 148 (1990), 81--115. Infinite-dimensional Lie groups and their Lie algebras: general properties, Superalgebras, Supermanifolds and graded manifolds, Group schemes, Graded Lie (super)algebras, 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) Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Vertex operators; vertex operator algebras and related structures, Exterior algebra, Grassmann algebras, Symmetric functions 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) \(p\)-adic theory, Galois representations, \(p\)-adic theory, local fields, \(p\)-adic cohomology, crystalline cohomology, Modular and Shimura varieties, Curves in algebraic geometry, Linear algebraic groups over local fields and their integers, 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) Gilman, J.; Keen, L., Discreteness criteria and the hyperbolic geometry of palindromes, Conform. Geom. Dyn., 13, 76-90, (2009) Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Kleinian groups (aspects of compact Riemann surfaces and uniformization), Coverings of curves, fundamental group, 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) Group schemes, Hopf algebras and their applications, Affine algebraic groups, hyperalgebra constructions
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