An alternate approach to the Lie bracket on Hochschild cohomology
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2016, International Press. We define Gerstenhaber's graded Lie bracket directly on complexes other than the bar complex, under some conditions, resulting in a practical technique for explicit computations. 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.
Homology, Homotopy and Applications
author list (cited authors)
Negron, C., & Witherspoon, S.
complete list of authors
Negron, Cris||Witherspoon, Sarah