Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598286 | Journal of Pure and Applied Algebra | 2007 | 16 Pages |
Abstract
We compute the automorphism group of the qq-enveloping algebra Uq(sl4+) of the nilpotent Lie algebra of strictly upper 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 1 of this algebra is a free (left) module of rank 3 (which is the rank of the Lie algebra sl4sl4) over the center of Uq(sl4+).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stéphane Launois, Samuel A. Lopes,