Lie algebra cohomology and the resolution of certain Harish-Chandra modules

DOI10.1007/BF01456096zbMath0524.22016WikidataQ115393475 ScholiaQ115393475MaRDI QIDQ585386

Joseph F. Johnson

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/163900

zbMATH Keywords

direct sumsLie algebra cohomologystandard modulesdiscrete seriesreductive Lie groupHarish-Chandra moduleadmissible modulesLanglands decompositionresolution finite-dimensional module

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Semisimple Lie groups and their representations (22E46) Homological methods in Lie (super)algebras (17B55) Lie algebras of Lie groups (22E60)

Related Items (7)

On Arthur packets of unitary groups and some consequences for classical groups ⋮ On the cohomology of trialitary hyperbolic varieties of dimension 7 ⋮ Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups ⋮ The Hodge conjecture and arithmetic quotients of complex balls ⋮ Paquets d’Arthur des groupes classiques et unitaires ⋮ Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\) ⋮ Unnamed Item

Cites Work

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• Reducibility of generalized principal series representations
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• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Cohomology of Lie algebras
• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module

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