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

zbMATH Keywords

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

Mathematics Subject Classification ID

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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K$K$‐Motives and Koszul duality ⋮ An intrinsic approach to relative braid group symmetries on ı$\imath$quantum groups

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