Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups. II

DOI10.1007/BF01389072zbMath0657.22017OpenAlexW3015162621WikidataQ115393633 ScholiaQ115393633MaRDI QIDQ1110666

David H. Collingwood, Luis G. Casian

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/143396

zbMATH Keywords

Jacquet functorJacquet modulesHarish-Chandra modulesconnected semisimple real matrix groupcomplex geometry of the flat varietynilpotent cohomology groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Classical groups (algebro-geometric aspects) (14L35) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (12)

A multiplicity one theorem for holomorphically induced representations ⋮ The Kazhdan-Lusztig conjecture for generalized Verma modules ⋮ Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups. II ⋮ Weight filtrations for induced representations of real reductive Lie groups ⋮ Asymptotics of matrix coefficients, perverse sheaves, and Jacquet modules ⋮ Asymptotics of matrix coefficients, perverse sheaves, and Jacquet modules ⋮ Unnamed Item ⋮ Graded characters of induced representations for real reductive Lie groups. I ⋮ Jacquet modules for semisimple Lie groups having Verma module filtrations ⋮ Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups. III: Estimates on n-homology ⋮ Whittaker vectors and the Goodman-Wallach operators ⋮ Complex Geometry and the Asymptotics of Harish-Chandra Modules for Real Reductive Lie Groups. I

Cites Work

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• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Irreducible characters of semisimple Lie groups. I
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case

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