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

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