The Lie structure on the Hochschild cohomology of a modular group algebra

Abstract

We prove that the Gerstenhaber bracket on the Hochschild cohomology of the group algebra of a cyclic group over a field of positive characteristic is not trivial. In this case, we relate the Lie algebra structure on the odd degrees of the Hochschild cohomology with a Witt-type algebra.

23 pages

References in corpus (1)

• Applications of the change-of-rings spectral sequence to the computation of Hochschild cohomology