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

Dave Benson; Radha Kessar; Markus Linckelmann

doi:10.2140/pjm.2021.313.1

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

Dave Benson, Radha Kessar, Markus Linckelmann

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-44
Number of pages	44
Journal	Pacific Journal of Mathematics
Volume	313
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2021.313.1
Publication status	Published - 17 Sept 2021

Keywords

BV operator
Hochschild Cohomology
Finite group algebras

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10.2140/pjm.2021.313.1

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title = "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 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.",

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author = "Dave Benson and Radha Kessar and Markus Linckelmann",

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AB - 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.

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KW - Hochschild Cohomology

KW - Finite group algebras

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DO - 10.2140/pjm.2021.313.1

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JF - Pacific Journal of Mathematics

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

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Keywords

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