Third cohomology group and \(\alpha \)-crossed extensions of Hom-Lie algebras

DOI10.1007/s00006-021-01132-9zbMath1471.17040OpenAlexW3172860828WikidataQ115390454 ScholiaQ115390454MaRDI QIDQ2047637

Farshid Saeedi, Nafise Hoseini

Publication date: 20 August 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-021-01132-9

zbMATH Keywords

Hom-Lie algebra\( \alpha \)-crossed module-cohomology

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Hom-Lie and related algebras (17B61)

Cites Work

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• Hom-Lie 2-algebras
• (Co)homology and universal central extension of Hom-Leibniz algebras
• Representations of hom-Lie algebras
• Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras
• Central extensions of Lie algebras
• Abelian extensions and crossed modules of Hom-Lie algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• A non-abelian tensor product of Hom-Lie algebras
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• On universal central extensions of Hom-Lie algebras
• On Hom–Lie algebras
• Hom-algebras and homology
• Crossed Extensions

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