Computation by computer of Lie superalgebra homology and cohomology
type: Item
instance of: scholarly article
title: Computation by computer of Lie superalgebra homology and cohomology
zbMATH Open document ID: 0832.17001
DOI: 10.1007/BF00996108
author: Nico Van den Hijligenberg
author: Gerhard Post
published in: Acta Applicandae Mathematicae
publication date: 1996-02-21T00:00:00Z
review text: The authors present a package that is designed to compute homology and cohomology of Lie superalgebras. Since a lot of the properties of Lie superalgebras (such as, e.g., the existence of central extensions, deformations, and exterior derivations) can be expressed in terms of certain cohomology classes, this homology package can be used to investigate such properties. This has been the main motivation for developing the package. Since an ordinary Lie algebra can be considered to be a Lie superalgebra with an odd part equal to zero, the package can also be used to compute homology and cohomology of Lie algebras. They describe most of its features and the implementation in REDUCE.
Mathematics Subject Classification ID: 17-08
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 17B55
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 18G35
zbMATH DE Number: 824524
zbMATH Keywords: homology
zbMATH Keywords: cohomology
zbMATH Keywords: Lie superalgebras
zbMATH Keywords: homology package
describes a project that uses: REDUCE
MaRDI profile type: Publication
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cites work: Q4276364
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full work available at URL: https://doi.org/10.1007/bf00996108
OpenAlex ID: W4231921233
description: scientific article; zbMATH DE number 824524