On 3-dimensional complex Hom-Lie algebras

DOI10.1016/j.jalgebra.2020.03.005zbMath1479.17004arXiv1902.08569OpenAlexW3015047172WikidataQ115350478 ScholiaQ115350478MaRDI QIDQ2174547

Gil Salgado, García Rosendo, Oscar Adolfo Sánchez Valenzuela

Publication date: 21 April 2020

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

Full work available at URL: https://arxiv.org/abs/1902.08569

zbMATH Keywords

classificationcanonical formsautomorphism groupsHom-Lie algebrasskew-symmetric bilinear maps

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Hom-Lie and related algebras (17B61)

Related Items (6)

Generalized derivations and Hom-Lie algebra structures on sl2 ⋮ A commutative algebra approach to multiplicative Hom-Lie algebras ⋮ On the classification of 3-dimensional complex hom-Lie algebras ⋮ Corrigendum to: ``On 3-dimensional complex Hom-Lie algebras ⋮ On rigid 3-dimensional Hom-Lie algebras ⋮ A generalization on derivations of Lie algebras

Cites Work

• Hom-structures on semi-simple Lie algebras
• Non-degenerate bilinear alternating maps \(f:V\times V \to V\), \(\dim(V)=3\), over an algebraically closed field
• 3-Dimensional Skew-symmetric Algebras and the Variety of Hom-Lie Algebras
• Generalized derivations and Hom-Lie algebra structures on sl2
• Cohomology and deformations for the Heisenberg Hom-Lie algebras
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item

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