Launois, Stephane and 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)

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. (Contact us about this Publication) | |

Official URL http://dx.doi.org/10.1016/j.jpaa.2007.01.003 |

## 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 |
---|---|

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 14:48 |

Last Modified: | 29 Apr 2014 14:51 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/3156 (The current URI for this page, for reference purposes) |

- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV

- Depositors only (login required):