An alternate approach to the Lie bracket on Hochschild cohomology Academic Article uri icon


  • 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.

published proceedings

  • Homology Homotopy and Applications

author list (cited authors)

  • Negron, C., & Witherspoon, S.

citation count

  • 13

complete list of authors

  • Negron, Cris||Witherspoon, Sarah

publication date

  • January 2016