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

Launois, Stephane and 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 . (Full text available)

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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
Uncontrolled keywords: quantum matrices; quantum special linear group; derivation; Hochschild cohomology; twisted Hochschild homology
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Stephane Launois
Date Deposited: 03 Jun 2008 14:54
Last Modified: 28 May 2014 10:56
Resource URI: http://kar.kent.ac.uk/id/eprint/3157 (The current URI for this page, for reference purposes)
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