Asymptotics of matrix coefficients, perverse sheaves, and Jacquet modules
DOI10.1007/BF01458580zbMath0579.22016MaRDI QIDQ5902952
Publication date: 1986
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164130
flag varietyhomology groupsBorel subalgebranilradicalperverse sheavesHarish-Chandra modulelocalization theoryconnected semisimple algebraic groupasymptotics of matrix coefficientsKazhdan-Lusztig conjectures\({\mathfrak n}_ x\)-homologyantidominant weight spaceB-G-G categorygeneralized Jacquet modulesholonomic \({\mathfrak D}\)-modulessolution complex
Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Semisimple Lie groups and their representations (22E46) Homological methods in Lie (super)algebras (17B55) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) de Rham cohomology and algebraic geometry (14F40)
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- Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
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