Hom-Lie-Yamaguti structures on Hom-Leibniz algebras

Abstract

Multiplicative left Hom-Leibniz algebras have natural Hom-Lie-Yamaguti structure.

arXiv comment10 pages, no figure

References in corpus (6)

• Deformations of Lie Algebras using $\sigma$-derivations
• Hom-algebras and homology
• Classification of 4-dimensional nilpotent complex Leibniz algebras
• Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
• A twisted generalization of Lie-Yamaguti algebras
• Some characterizations of Hom-Leibniz algebras

Cited by in corpus (2)

• One-parameter formal deformations of Hom-Lie-Yamaguti algebras
• On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras