Vol. 313, No. 1, 2021

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

Dave Benson, Radha Kessar and Markus Linckelmann

Vol. 313 (2021), No. 1, 1–44
DOI: 10.2140/pjm.2021.313.1
Abstract

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

Keywords
BV operator, Hochschild Cohomology, Finite group algebras
Mathematical Subject Classification
Primary: 16E40, 20C20
Milestones
Received: 1 June 2020
Revised: 13 April 2021
Accepted: 16 April 2021
Published: 17 September 2021
Authors
Dave Benson
Institute of Mathematics
University of Aberdeen
Aberdeen
United Kingdom
Radha Kessar
Department of Mathematics
City, University of London
London
United Kingdom
Markus Linckelmann
Department of Mathematics
City, University of London
London
United Kingdom