Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras

Abstract

We define a cup-product in Hom-Leibniz cohomology and show that the cup-product satisfies the graded Hom-Zinbiel relation.

12 pages

References in corpus (2)

• Hom-Lie structures on Kac-Moody algebras
• Cup-product for equivariant Leibniz cohomology and zinbiel algebras

Cited by in corpus (3)

• Equivariant one-parameter formal deformations of Hom-Leibniz algebras
• Central extensions of 3-dimensional Zinbiel algebras
• On $\alpha$-type (equivariant) cohomology of Hom-pre-Lie algebras