Complex Geometry and the Asymptotics of Harish-Chandra Modules for Real Reductive Lie Groups. I

DOI10.2307/2000589zbMath0657.22016OpenAlexW4248216997MaRDI QIDQ3804947

Luis G. Casian, David H. Collingwood

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000589

zbMATH Keywords

Jacquet functorJacquet modulesHarish-Chandra modulesconnected semisimple real matrix groupnilpotent cohomology groupscomplex geometry of the flag variety

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

The Kazhdan-Lusztig conjecture for generalized Verma modules, Weight filtrations for induced representations of real reductive Lie groups, A geometric Jacquet functor, Unnamed Item, 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

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