Lie algebra cohomology of infinite-dimensional modules

DOI10.1016/0001-8708(80)90041-9zbMath0419.17009OpenAlexW1989503713WikidataQ115369058 ScholiaQ115369058MaRDI QIDQ1132164

Floyd L. Williams

Publication date: 1980

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(80)90041-9

zbMATH Keywords

Hochschild-Serre spectral sequencediscrete series representationinfinite-dimensional modulescohomology of irreducible highest weight vector

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20)

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Cites Work

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• On an infinitesimal characterization of the discrete series
• A proof of Blattner's conjecture
• Some properties of squareintegrable representations of semisimple Lie groups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Cohomology of Lie algebras
• On the Enright-Varadarajan modules : a construction of the discrete series
• Introduction to Lie Algebras and Representation Theory