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arXiv · 1511.02533

The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups

Cris Negron·Sarah Witherspoon
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Abstract

We apply new techniques to Gerstenhaber brackets on the Hochschild cohomology of a skew group algebra formed from a polynomial ring and a finite group (in characteristic 0). We show that the Gerstenhaber brackets can always be expressed in terms of Schouten brackets. We obtain as consequences some conditions under which brackets are always 0, strengthening known results.

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BibTeXRIS

Cris Negron, Sarah Witherspoon. 2015-11-08. The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups. https://doi.org/10.1112/plms.12057

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