On homology and cohomology of Lie superalgebras with coefficients in their finite-dimensional representations
type: Item
instance of: scholarly article
title: On homology and cohomology of Lie superalgebras with coefficients in their finite-dimensional representations
zbMATH Open document ID: 0928.17022
author: Junko Tanaka
published in: Proceedings of the Japan Academy. Series A
publication date: 2000-01-19T00:00:00Z
review text: Announcement of results published in J. Math. Kyoto Univ. 35, 733-756 (1995; Zbl 0861.17012).
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 17B55
Mathematics Subject Classification ID: 17A70
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 799718
zbMATH Keywords: Lie superalgebra
zbMATH Keywords: cohomology groups
zbMATH Keywords: highest weight modules
zbMATH Keywords: homology groups
MaRDI profile type: Publication
full work available at URL: pjaa.71.51
OpenAlex ID: W2091352059
cites work: Duality property in coinduced representations of Lie superalgebras
cites work: Cohomology Theory of Lie Groups and Lie Algebras
cites work: Q3720764
cites work: Representations of Lie superalgebras. II: Unitary representations of Lie superalgebras of type A(n,0)
cites work: Q4168737
cites work: Lie superalgebras
cites work: Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
cites work: Homology and cohomology of Lie superalgebra \({\mathfrak sl}(2,1)\) with coefficients in the spaces of finite-dimensional irreducible representations
DOI: 10.3792/PJAA.71.51
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description: scientific article; zbMATH DE number 799718