An alternate approach to the Lie bracket on Hochschild cohomology
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Publication:303926
DOI10.4310/HHA.2016.V18.N1.A14zbMATH Open1353.16008arXiv1406.0036MaRDI QIDQ303926
Author name not available (Why is that?)
Publication date: 23 August 2016
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1406.0036
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