Cup-product for equivariant Leibniz cohomology and zinbiel algebras

Abstract

We study finite group actions on Leibniz algebras, define equivariant cohomology groups associated to such actions. We show that there exists a cup-product operation on this graded cohomology groups which makes it a graded zinbiel algebra.

arXiv comment12 pages

References in corpus (1)

• Leibniz algebroid associated with a Nambu-Poisson structure

Cited by in corpus (6)

• The algebraic and geometric classification of Zinbiel algebras
• Equivariant one-parameter formal deformations of Hom-Leibniz algebras
• Central extensions of filiform Zinbiel algebras
• Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras
• Central extensions of 3-dimensional Zinbiel algebras
• Symmetric Zinbiel superalgebras