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An Alternate Approach to the Lie Bracket on Hochschild Cohomology
Published 30 May 2014 in math.RT, math.KT, math.QA, and math.RA | (1406.0036v3)
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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