群代数的Hochschild上同调环上的Batalin-Vilkovisky结构

arXiv: K-Theory and Homology Pub Date : 2014-05-14 DOI:10.4171/JNCG/249

Yuming Liu, Guodong Zhou

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引用次数: 16

摘要

我们在元素水平上显式地实现了群代数的Hochschild上同环的加性分解。因此，我们描述了群代数的Hochschild上同环中的杯积、Batalin-Vilkovisky算子和Lie括号。

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

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.

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arXiv: K-Theory and Homology

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