Launois, Stephane, Lopes, Samuel A. (2007) Automorphisms and derivations of U_q(sl_4^+). Journal of Pure and Applied Algebra, 211 (1). pp. 249-264. ISSN 0022-4049. (doi:10.1016/j.jpaa.2007.01.003) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3156)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1016/j.jpaa.2007.01.003 |
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Abstract
We compute the automorphism group of the q-enveloping algebra U-q(sl(+)(4)) of the nilpotent Lie algebra of strictly upper 4 triangular matrices of size 4. The result obtained gives a positive answer to a conjecture of Andruskiewitsch and Dumas. We also compute the derivations of this algebra and then show that the Hochschild cohomology group of degree I of this algebra is a free (left) module of rank 3 (which is the rank of the Lie algebra Sl(4)) over the center of U-q(sl(4)(+))
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1016/j.jpaa.2007.01.003 |
| 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 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 14:48 UTC |
| Last Modified: | 20 May 2025 11:30 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/3156 (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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