Cup-Product for Equivariant Leibniz Cohomology and Zinbiel Algebras  

作　　者：Goutam Mukherjee Ripan Saha 

机构地区：[1]Stat-Math Unit, Indian Statistical Institute B. T. Road 203, Kolkata 700108, West Bengal, India [2]Department of Mathematics, Raiganj University Raiganj 733134, West Bengal, India

出　　处：《Algebra Colloquium》2019年第2期271-284,共14页代数集刊（英文版）

摘　　要：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.

关 键 词：group action LEIBNIZ ALGEBRA EQUIVARIANT COHOMOLOGY Zinbiel ALGEBRA 

分 类 号：O1[理学—数学]