Hom-Lie-Yamaguti structures on Hom-Leibniz algebras

2012/08/29 by Donatien Gaparayi, Gaparayi, Donatien, A. Nourou Issa +1 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.RA #msc:17A30 #msc:17A32 #msc:17D99

paper · pdf · doi:10.48550/arxiv.1208.6038

10 pages, no figure

arxiv created 2012/08/29 · arxiv updated 2012/08/31

Abstract

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

Citations

• Irreducible Lie–Yamaguti algebras
• Invariant Affine Connections on Homogeneous Spaces

Cited by

• On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras
• Isoclinism in regular Hom-Lie Yamaguti algebras

Related

• A note on relations between Hom-Malcev algebras and Hom-Lie-Yamaguti algebras
• On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras
• A note on representations of Lie-Yamaguti algebras induced by left Leibniz algebras
• On Hom-algebra structures
• Hom-Lie triple system and Hom-Bol algebra structures on Hom-Malcev and right Hom-alternative algebras