Launois, S. and Lopes, S.A.
(2007)
*Automorphisms and derivations of U_q(sl_4^+).*
Journal of Pure and Applied Algebra , 211
(1).
pp. 249-264.
ISSN 0022-4049 .
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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: | 14 Jan 2010 14:11 |

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

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