Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\)

DOI10.1007/s40840-015-0120-6zbMath1369.17016OpenAlexW2013671365MaRDI QIDQ2399737

Yin Chen, Runxuan Zhang

Publication date: 24 August 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0120-6

zbMATH Keywords

generalization of Lie algebra\(\omega \)-Jacobi identity\(\omega \)-Lie algebrasimple \(\omega \)-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 (6)

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 low-dimensional complex \(\omega \)-Lie superalgebras ⋮ Representations of ω-Lie algebras and tailed derivations of Lie algebras

Cites Work

• Unnamed Item
• Classification of three-dimensional complex \(\omega\)-Lie algebras
• Jacobi-Jordan algebras
• Deforming a Lie algebra by means of a 2-form
• Distinguished dimensions for special Riemannian geometries
• \(\omega \)-Lie algebras
• Solvable Lie algebras of dimension \(\leq 4\) over perfect fields
• The classification of Novikov algebras in low dimensions
• Irreducible SO(3) geometry in dimension five
• Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras
• ON SOME LEFT-SYMMETRIC SUPERALGEBRAS

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