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The first Hochschild cohomology group of quantum matrices and the quantum special linear group

Launois, Stephane, Lenagan, T.H. (2007) The first Hochschild cohomology group of quantum matrices and the quantum special linear group. Journal of Noncommutative Geometry, 1 (3). pp. 281-309. ISSN 1661-6952. (doi:10.4171/jncg/8) (KAR id:3157)

Abstract

We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear group and the quantum special linear group in the generic case when the deformation parameter is not a root of unity. As a corollary, we obtain information about twisted Hochschild homology of these algebras.

Item Type: Article
DOI/Identification number: 10.4171/jncg/8
Uncontrolled keywords: quantum matrices; quantum special linear group; derivation; Hochschild cohomology; twisted Hochschild homology
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Stephane Launois
Date Deposited: 03 Jun 2008 14:54 UTC
Last Modified: 09 Mar 2023 11:29 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/3157 (The current URI for this page, for reference purposes)

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