Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra

2014/05/14 by Yuming Liu, Yu-Ming Liu, Liu, Yu-Ming +2 · 1 citation
Mathematics · #16E40 #18G10 #20C05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #math.KT #msc:16E40 #msc:18G10 #msc:20C05

paper · pdf · doi:10.48550/arxiv.1405.3418

This paper uses a Maple program which is avaible at http://math.bnu.edu.cn/~liuym/

openalex publication_date 2014/05/14 · arxiv created 2014/05/21 · arxiv updated 2014/05/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra in the elements level. As a result, we describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket in the Hochschild cohomology ring of a group algebra.

Cited by

• On solvability of the first Hochschild cohomology of odd p-groups

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