The n-homology of Harish-Chandra modules: Generalizing a theorem of Kostant

DOI10.1007/BF01450563zbMath0548.22007MaRDI QIDQ799825

David H. Collingwood

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164005

zbMATH Keywords

homologyHarish-Chandra moduleHermitian symmetric pairunitary derived functor modules

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Continuous cohomology of Lie groups (22E41)

Related Items

Representation theory on the open Bruhat cell., Orbits and Characters Associated to Highest Weight Representations, A comparison theory for the structure of induced representations. II, Unnamed Item, Closed product formulas for extensions of generalized Verma modules, Kostant Modules in Blocks of Category 𝒪_S, Hilbert series, Howe duality, and branching rules, 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, Almost Hermitian symmetric manifolds. II: Differential invariants, Complex Geometry and the Asymptotics of Harish-Chandra Modules for Real Reductive Lie Groups. I, Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces

Cites Work

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