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25 April 2024

» arxiv » 1901.3224

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The Batalin-Vilkovisky structure on the Tate-Hochschild cohomology ring of a group algebra
Yuming Liu ; Zhengfang Wang ; Guodong Zhou ;
Date:	10 Jan 2019
Abstract:	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 particular, we show that the Tate cohomology of $G$ is a Batalin-Vilkovisky subalgebra of the Tate-Hochschild cohomology of the group algebra $kG$, and that the Tate cochain complex of $G$ is a cyclic $A_{infty}$-subalgebra of the Tate-Hochschild cochain complex of $kG$.
Source:	arXiv, 1901.3224
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