The Batalin-Vilkovisky structure on the Tate-Hochschild cohomology ring of a group algebra

Yuming Liu, Zhengfang Wang, Guodong Zhou

We determine the Batalin-Vilkovisky structure on the Tate-Hochschild cohomology of the group algebra $kG$ of a finite group $G$ in terms of the additive decomposition. In particula…