Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra (1405.3418v2)

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.