On the BV structure of the Hochschild cohomology of finite group algebras

Abstract

We give a simple algebraic recipe for calculating the components of the BV operator $\Delta$ on the Hochschild cohomology of a finite group algebra with respect to the centraliser decomposition. We use this to investigate the properties of $\Delta$ and to make some computations for some particular finite groups.

Revised version; to appear in Pacific J. Math

Cited by in corpus (2)

• Stable invariance of the restricted Lie algebra structure of Hochschild cohomology
• Maximal tori in $H{H}^1$ and the fundamental group