The homology of Kac-Moody Lie algebras with coefficients in a generalized Verma module
type: Item
instance of: scholarly article
title: The homology of Kac-Moody Lie algebras with coefficients in a generalized Verma module
zbMATH Open document ID: 0544.17008
DOI: 10.1016/0021-8693(84)90194-7
published in: Journal of Algebra
publication date: 1984-01-01T00:00:00Z
review text: Using methods of homology computations for finite-dimensional complex semisimple Lie algebras the structure of the homology of Kac-Moody Lie algebras (possibly infinite-dimensional) with coefficients in an arbitrary generalized Verma module is described. In particular the homology spaces are always finite-dimensional and are not always zero.
Mathematics Subject Classification ID: 17B55
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B56
zbMATH DE Number: 3865527
zbMATH Keywords: homology of Kac-Moody Lie algebras
zbMATH Keywords: generalized Verma module
zbMATH Keywords: homology spaces
Wikidata QID: Q115367038
author: Chiu Sen
MaRDI profile type: Publication
full work available at URL: 0021-8693(84)90194-7
OpenAlex ID: W2077789817
cites work: Q3240881
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cites work: Generalized Verma modules, loop space cohomology and MacDonald-type identities
cites work: A new class of Lie algebras
cites work: The Cohomology of Semisimple Lie Algebras with Coefficients in a Verma Module
description: scientific article; zbMATH DE number 3865527