Description of \(\omega\)-Lie algebras

DOI10.1016/J.GEOMPHYS.2023.104926MaRDI QIDQ6137704

Jianhua Yu, Zhiqi Chen, Junna Ni

Publication date: 4 September 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

structure\(\omega\)-Lie algebraalmost abelian Lie algebraskew-symmetric bilinear formnontrivial \(\omega\)-Lie algebra

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Cites Work

• Classification of three-dimensional complex \(\omega\)-Lie algebras
• Deforming a Lie algebra by means of a 2-form
• \(\omega \)-Lie algebras
• Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\)
• Representations of ω-Lie algebras and tailed derivations of Lie algebras

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