$A_{\infty }$-structures on the additive decomposition of the Tate-Hochschild cohomology of a finite group algebra

Xiuli Bian, Longfei Li, Yuming Liu +3

Firstly, for a finite group algebra, we provide a computational framework ${\hat{m}}_n$ for the Tate-Hochschild cochain complex in terms of the additive decomposition, by decompo…