\(\mathfrak n\)-cohomology of simple highest weight modules on walls and purity

DOI10.1007/BF01393837zbMath0781.22011MaRDI QIDQ1812723

Wolfgang Soergel

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143743

zbMATH Keywords

Verma modulesroot systemCartan subalgebrairreducible highest weight modulescomplex semisimple Lie algebrainfinitesimal characterpure Hodge module

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Lie algebras of Lie groups (22E60) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (22)

On the Enright functor in the highest weight category ⋮ On functors associated to a simple root ⋮ Dirac cohomology of highest weight modules ⋮ Cohomology in singular blocks of parabolic category ⋮ Equivariant sheaves on flag varieties ⋮ The Jantzen conjecture for singular characters ⋮ PERVERSE MOTIVES AND GRADED DERIVED CATEGORY ⋮ Koszul Duality Patterns in Representation Theory ⋮ Unnamed Item ⋮ Super duality and Kazhdan-Lusztig polynomials ⋮ BGG complexes in singular blocks of category \(\mathcal{O}\) ⋮ Cohomology in singular blocks for a quantum group at a root of unity ⋮ Kostant Modules in Blocks of Category 𝒪_S ⋮ Matsuki correspondence for sheaves ⋮ The cohomology of locally analytic representations ⋮ Singular blocks of the category \({\mathcal O}\) ⋮ Semistandard filtrations in highest weight categories. ⋮ Some geometric facets of the Langlands correspondence for real groups ⋮ Corrections to: “On the 𝔫-cohomology of limits of discrete series representations” ⋮ Abstract Kazhdan-Lusztig theories ⋮ Towards combinatorial invariance for Kazhdan-Lusztig polynomials ⋮ Modular Koszul duality

Cites Work

• The Kazhdan-Lusztig conjecture for generalized Verma modules
• Hodge modules, equivariant \(K\)-theory and Hecke algebras
• Irreducible characters of semisimple Lie groups. II: The Kazhdan-Lusztig conjectures
• Vanishing theorems for Lie algebra cohomology and the cohomology of discrete subgroups of semisimple Lie groups
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(\mathfrak n\)-cohomology of simple highest weight modules on walls and purity