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)
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| Official URL: https://doi.org/10.4171/jncg/8 |
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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 |
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| 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) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Natural Sciences > School of Mathematics Statistics and Actuarial Science Pure Mathematics Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Stephane Launois |
| Date Deposited: | 03 Jun 2008 14:54 UTC |
| Last Modified: | 20 May 2025 11:30 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/3157 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Launois, Stephane.
| Creator's ORCID: |
 https://orcid.org/0000-0001-7252-8515
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