Combined (q,h)-Deformation as a Nonlinear Map on $U_q(sl(2))$
| dc.creator | Abdesselam, B. | |
| dc.creator | Chakrabarti, A. | |
| dc.creator | Chakrabarti, R. | |
| dc.date | 1996-12-19 | |
| dc.date.accessioned | 2026-07-07T09:17:23Z | |
| dc.date.available | 2026-07-07T09:17:23Z | |
| dc.description | The generators $(J_{\pm}, J_0)$ of the algebra $U_q(sl(2))$ is our starting point. An invertible nonlinear map involving, apart from q, a second arbitrary complex parameter h, defines a triplet $({\hat X},{\hat Y},{\hat H})$. The latter set forms a closed algebra under commutation relations. The nonlinear algebra $U_{q,h}(sl(2))$, thus generated, has two different limits. For $q \to 1$, the Jordanian h-deformation $U_{h}(sl(2))$ is obtained. For $h \to 0$, the q-deformed algebra $U_{q}(sl(2))$ is reproduced. From the nonlinear map, the irreducible representations of the doubly-deformed algebra $U_{q,h}(sl(2))$ may be directly and explicitly obtained form the known representations of the algebra $U_q(sl(2))$. Here we consider only generic values of q. | |
| dc.description | Latex, 11 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9612028 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9612028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153650 | |
| dc.subject | Quantum Algebra | |
| dc.title | Combined (q,h)-Deformation as a Nonlinear Map on $U_q(sl(2))$ | |
| dc.type | text |