Third cohomology group and \(\alpha \)-crossed extensions of Hom-Lie algebras
type: Item
instance of: scholarly article
title: Third cohomology group and \(\alpha \)-crossed extensions of Hom-Lie algebras
zbMATH Open document ID: 1471.17040
author: Nafise Hoseini
author: F. Saeedi
published in: Advances in Applied Clifford Algebras
publication date: 2021-08-20T00:00:00Z
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 17B61
zbMATH DE Number: 7384102
zbMATH Keywords: Hom-Lie algebra
zbMATH Keywords: \( \alpha \)-crossed module-cohomology
MaRDI profile type: Publication
full work available at URL: s00006-021-01132-9
OpenAlex ID: W3172860828
Wikidata QID: Q115390454
cites work: Q3106527
cites work: Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras
cites work: Abelian extensions and crossed modules of Hom-Lie algebras
cites work: On universal central extensions of Hom-Lie algebras
cites work: A non-abelian tensor product of Hom-Lie algebras
cites work: (Co)homology and universal central extension of Hom-Leibniz algebras
cites work: Deformations of Lie algebras using \(\sigma\)-derivations
cites work: Q5648522
cites work: Central extensions of Lie algebras
cites work: Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
cites work: Hom-algebra structures
cites work: Crossed Extensions
cites work: Representations of hom-Lie algebras
cites work: Hom-Lie 2-algebras
cites work: On Hom–Lie algebras
cites work: Q4296949
cites work: Hom-algebras and homology
DOI: 10.1007/S00006-021-01132-9
Recommended article: Q4867457
Recommended article: Cohomology, derivations and abelian extensions of 3-Lie algebras
Recommended article: Q4266922
Recommended article: Third group cohomology and gerbes over Lie groups
Recommended article: Q4384891
Recommended article: Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
Recommended article: ON COHOMOLOGY GROUPS OF THREE-DIMENSIONAL COMPLEX ASSOCIATIVE ALGEBRAS
Recommended article: On the Third-Degree Continuous Cohomology of Simple Lie Groups
Recommended article: Representations and module-extensions of 3-hom-Lie algebras
Recommended article: From 3-algebras to \(\Delta\)-groups and symmetric cohomology
description: scientific article; zbMATH DE number 7384102