JournalsjncgVol. 10, No. 3pp. 811–858

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

  • Yuming Liu

    Beijing Normal University, China

  • Guodong Zhou

    East China Normal University, Shanghai, China
The Batalin–Vilkovisky structure over the Hochschild cohomology ring of a group algebra cover
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Abstract

We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra at the chain 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.

Cite this article

Yuming Liu, Guodong Zhou, The Batalin–Vilkovisky structure over the Hochschild cohomology ring of a group algebra. J. Noncommut. Geom. 10 (2016), no. 3, pp. 811–858

DOI 10.4171/JNCG/249