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