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On the BV structure
of the Hochschild cohomology of finite group algebras
Dave Benson, Radha Kessar and Markus Linckelmann |
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Vol. 313 (2021), No. 1, 1–44
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DOI: 10.2140/pjm.2021.313.1
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Abstract |
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We give a simple algebraic recipe for calculating the components of the BV operator on the Hochschild cohomology of a finite group algebra with respect to the centraliser decomposition. We use this to investigate properties of and to make some computations for some particular finite groups. |
Keywords
BV operator, Hochschild Cohomology, Finite group algebras
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Mathematical Subject Classification
Primary: 16E40, 20C20
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Milestones
Received: 1 June 2020
Revised: 13 April 2021
Accepted: 16 April 2021
Published: 17 September 2021
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Authors |
| Dave Benson | |
| Institute of Mathematics University of Aberdeen Aberdeen United Kingdom |
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| Radha Kessar | |
| Department of Mathematics City, University of London London United Kingdom |
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| Markus Linckelmann | |
| Department of Mathematics City, University of London London United Kingdom |
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