Andersen filtration and hard Lefschetz

DOI10.1007/s00039-007-0640-9zbMath1143.22012arXivmath/0604590OpenAlexW2101789329MaRDI QIDQ2427024

Wolfgang Soergel

Publication date: 14 May 2008

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604590

zbMATH Keywords

Verma moduleJantzen filtrationintersection homologytilting module, Kazhdan-Lusztig theory

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Module categories in associative algebras (16D90) Equivariant homology and cohomology in algebraic topology (55N91) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Special properties of functors (faithful, full, etc.) (18A22) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Infinitesimal methods in algebraic geometry (14B10) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (6)

The Hodge theory of the Hecke category ⋮ Generalised Jantzen filtration of exceptional Lie superalgebras ⋮ Local Hodge theory of Soergel bimodules ⋮ Positive Jantzen sum formulas for cyclotomic Hecke algebras ⋮ Tilting modules in category \(\mathcal O\) and sheaves on moment graphs ⋮ The Hodge theory of Soergel bimodules.

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