Derivations, automorphisms, and representations of complex ω-Lie algebras

DOI10.1080/00927872.2017.1327062zbMath1427.17032arXiv1704.08042OpenAlexW2963433473MaRDI QIDQ4643660

Rushu Zhuang, Ziping Zhang, Yin Chen, Runxuan Zhang

Publication date: 28 May 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08042

zbMATH Keywords

derivationsautomorphismsirreducible representations\(\omega\)-Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (5)

Endomorphisms of upper triangular matrix semirings ⋮ A commutative algebra approach to multiplicative Hom-Lie algebras ⋮ Unnamed Item ⋮ On low-dimensional complex \(\omega \)-Lie superalgebras ⋮ Representations of ω-Lie algebras and tailed derivations of Lie algebras

Cites Work

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• Classification of three-dimensional complex \(\omega\)-Lie algebras
• Representations of hom-Lie algebras
• Deforming a Lie algebra by means of a 2-form
• Distinguished dimensions for special Riemannian geometries
• \(\omega \)-Lie algebras
• Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\)
• Hom-Lie algebra structures on semi-simple Lie algebras
• Irreducible SO(3) geometry in dimension five
• ON SOME LEFT-SYMMETRIC SUPERALGEBRAS

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