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arXiv · 1406.0036

An Alternate Approach to the Lie Bracket on Hochschild Cohomology

Cris Negron·Sarah Witherspoon
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Abstract

We define Gerstenhaber's graded Lie bracket directly on complexes other than the bar complex, under some conditions. The Koszul complex of a Koszul algebra in particular satisfies our conditions. As examples we recover the Schouten-Nijenhuis bracket for a polynomial ring and the Gerstenhaber bracket for a group algebra of a cyclic group of prime order.

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BibTeXRIS

Cris Negron, Sarah Witherspoon. 2014-05-30. An Alternate Approach to the Lie Bracket on Hochschild Cohomology. https://arxiv.org/abs/1406.0036

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