Quantum Bases in Uq(g)
| dc.creator | Celeghini, Enrico | |
| dc.date | 2008-09-01 | |
| dc.date.accessioned | 2026-07-07T09:59:46Z | |
| dc.date.available | 2026-07-07T09:59:46Z | |
| dc.description | This paper is devoted to analize inside the infinitely many possible bases of Uq(g), same that can be considered "more equal then others". The element of selection has been a privileged relation with the bialgebra. A new parameter z' has been found that determines the commutation relations, independent from the z=log(q) that defines Uq(g). Both z and z' are necessary to fix the relations between the basic set and its coproducts. Three cases are particularly relevant: the analytical set with z'=z, the Lie set with Lie-like commutation relations (for z'=0) and the canonical/crystal basis with z' infinity. To simplify the exposition, we discuss in details the easy generalizable case of Uq(su(2)). | |
| dc.description | Latex, 10 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0809.0264 | |
| dc.identifier | http://arxiv.org/abs/0809.0264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168140 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81R50; 17B35; 17B37; 17B62 | |
| dc.title | Quantum Bases in Uq(g) | |
| dc.type | text |