Cup-Product for Equivariant Leibniz Cohomology and Zinbiel Algebras

Authors

Goutam Mukherjee, Indian Statistical Institute, Kolkata
Ripan Saha, Raiganj University

Article Type

Research Article

Publication Title

Algebra Colloquium

Abstract

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

First Page

271

Last Page

284

DOI

10.1142/S100538671900021X

Publication Date

6-1-2019

Comments

Open Access, Green

Recommended Citation

Mukherjee, Goutam and Saha, Ripan, "Cup-Product for Equivariant Leibniz Cohomology and Zinbiel Algebras" (2019). Journal Articles. 816.
https://digitalcommons.isical.ac.in/journal-articles/816