Classification of three-dimensional complex \(\omega\)-Lie algebras

DOI10.4171/PM/1943zbMath1370.17003arXiv1305.5089MaRDI QIDQ399389

Runxuan Zhang, Yin Chen, Chang Liu

Publication date: 19 August 2014

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5089

zbMATH Keywords

\(\omega\)-Jacobi identity\(\omega\)-Lie algebrageneralization of Lie algebra

Mathematics Subject Classification ID

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

Related Items (8)

Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\) ⋮ A commutative algebra approach to multiplicative Hom-Lie algebras ⋮ Description of \(\omega\)-Lie algebras ⋮ Unnamed Item ⋮ Derivations, automorphisms, and representations of complex ω-Lie algebras ⋮ On ω-Lie superalgebras ⋮ On low-dimensional complex \(\omega \)-Lie superalgebras ⋮ Representations of ω-Lie algebras and tailed derivations of Lie algebras

Cites Work

• Deforming a Lie algebra by means of a 2-form
• Distinguished dimensions for special Riemannian geometries
• \(\omega \)-Lie algebras
• Irreducible SO(3) geometry in dimension five
• Unnamed Item

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