1. On equivariant Hom-Leibniz cohomology
- Author
-
Ripan Saha
- Subjects
Pure mathematics ,Finite group ,Mathematics::K-Theory and Homology ,Mathematics::Category Theory ,General Mathematics ,Mathematics::Rings and Algebras ,Physics::Accelerator Physics ,Equivariant map ,Equivariant cohomology ,Mathematics::Algebraic Topology ,Cohomology ,Mathematics - Abstract
We study finite group actions on Hom-Leibniz algebras. We introduce equivariant cohomology of Hom-Leibniz algebras with coefficients in $$O_G$$ -Hom-algebras. We show that there is a cup-product operation in the graded equivariant Hom-Leibniz cohomology, which satisfies the graded Hom-Zinbiel relation.
- Published
- 2021