Koszul duality for quasi-split real groups
DOI10.1007/s00222-021-01050-4zbMath1484.14023arXiv1510.08343OpenAlexW3165958369MaRDI QIDQ2238046
Roman Bezrukavnikov, Kari Vilonen
Publication date: 29 October 2021
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.08343
triangulated categoriesKoszul dualitySoergel bimodulesequivariant derived categoryBeilinson-Bernstein Localization TheoremBernstein-Gelfand-Gelfand category \(O\)block varietycategory of Harish-Chandra \((\mathfrak{g}, K)\)-modulesquasi-split real groups
Lie algebras of linear algebraic groups (17B45) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Geometric Langlands program (algebro-geometric aspects) (14D24) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)
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Cites Work
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- On two geometric realizations of an affine Hecke algebra
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- Irreducible characters of semisimple Lie groups. IV: Character - multiplicity duality
- Singularities of closures of K-orbits on flag manifolds
- Perverse sheaves on affine flags and Langlands dual group
- Localization and standard modules for real semisimple Lie groups. I: The duality theorem
- La conjecture de Weil. II
- Reducibility of generalized principal series representations
- Representations of real reductive Lie groups
- The Langlands classification and irreducible characters for real reductive groups
- Gelfand-Kirillov dimension for Harish-Chandra modules
- Action of the braid group on a category
- The Cohen-Macaulay property of the category of \(({\mathfrak g},K)\)-modules
- Equivariant cohomology, Koszul duality, and the localization theorem
- Hyperbolic localization of intersection cohomology
- On the relation between intersection cohomology and representation theory in positive characteristic.
- Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
- On Koszul duality for Kac-Moody groups
- Loop spaces and connections
- Koszul Duality and Mixed Hodge Modules
- Equivariant Satake category and Kostant-Whittaker reduction
- Algorithms for representation theory of real reductive groups
- Perverse Sheaves and ℂ ∗ -Actions
- Two geometric character formulas for reductive Lie groups
- Wall-Crossing functors and D-modules
- Large components of principal series and characteristic cycles
- BRANCHING TO A MAXIMAL COMPACT SUBGROUP
- PERVERSE MOTIVES AND GRADED DERIVED CATEGORY
- Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
- Koszul Duality Patterns in Representation Theory
- Affine braid group actions on derived categories of Springer resolutions
- Orbits and Representations Associated with Symmetric Spaces
- Mixed Hodge modules
- Lie groups beyond an introduction
