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On The BV Structure Of The Hochschild Cohomology Of Finite Group Algebras

Benson, D., Kessar, R. ORCID: 0000-0002-1893-4237 and Linckelmann, M. (2021). On The BV Structure Of The Hochschild Cohomology Of Finite Group Algebras. Pacific Journal of Mathematics, 313(1), pp. 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.

Publication Type: Article
Additional Information: This article has been published in Pacific Journal of Mathematics, Mathematical Sciences Publishers. DOI: 10.2140/PJM.2021.313.1. In each case of authorized duplication of the Work in whole or in part, the Author(s) must still ensure that the original publication by the Publisher is properly credited, in the following manner: “First published in Pacific Journal of Mathematics in Vol. 313 (2021), No. 1, published by Mathematical Sciences Publishers,” and the copyright notice in proper form must be placed on all copies.
Publisher Keywords: BV operator, Hochschild Cohomology, Finite group algebras
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Date available in CRO: 22 Oct 2021 09:59
Date deposited: 21 October 2021
Date of acceptance: 16 April 2021
Date of first online publication: 17 September 2021
URI: https://openaccess.city.ac.uk/id/eprint/26934
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