An Alternate Approach to the Lie Bracket on Hochschild Cohomology Cris Negron and Sarah Witherspoon

  • SARAH WITHERSPOON
  • Published 2015

Abstract

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.

Cite this paper

@inproceedings{WITHERSPOON2015AnAA, title={An Alternate Approach to the Lie Bracket on Hochschild Cohomology Cris Negron and Sarah Witherspoon}, author={SARAH WITHERSPOON}, year={2015} }