Automorphisms and derivations of U-q (sl(4)(+))

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Stephane Launois (Author) Other; Samuel A Lopes (Author) FCUP

Journal

Title: Journal of Pure and Applied Algebra

Vol. 211 No. 3

Pages: 249-264

ISSN: 0022-4049

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 9 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-78E

DOI: 10.1016/j.jpaa.2007.01.003

Abstract (EN): 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)(+))

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16