On the Hochschild cohomology and the automorphism group of U_q(sl_4^+)
| dc.creator | Launois, Stephane | |
| dc.creator | Lopes, Samuel A | |
| dc.date | 2006-06-06 | |
| dc.date.accessioned | 2026-07-07T07:16:58Z | |
| dc.date.available | 2026-07-07T07:16:58Z | |
| dc.description | We compute the automorphism group of the q-enveloping algebra U_q(sl_4^+) 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 sl(4)) over the center of U_q(sl_4^+). | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606134 | |
| dc.identifier | http://arxiv.org/abs/math/0606134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113783 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B37; 16W20; 16W25; 16E40 | |
| dc.title | On the Hochschild cohomology and the automorphism group of U_q(sl_4^+) | |
| dc.type | text |