Deformation of Yangian $Y(sl_2)$
| dc.creator | Khoroshkin, S. M. | |
| dc.creator | Stolin, A. A. | |
| dc.creator | Tolstoy, V. N. | |
| dc.date | 1995-11-10 | |
| dc.date.accessioned | 2026-07-07T09:16:44Z | |
| dc.date.available | 2026-07-07T09:16:44Z | |
| dc.description | A quantization of a non-standard rational solution of CYBE for $sl_2$ is given explicitly. We obtain the quantization with the help of a twisting of the usual Yangian $Y(sl_2$. This quantum object (deformed Yangian $Y_{η,ξ}(sl_2))$ is a two-parametric deformation of the universal enveloping algebra $U(sl_2[u])$ of the positive current algebra $sl_2[u]$. We consider the pseudotriangular structure on $Y_{η,ξ}(sl_2)$, the quantum double $DY_{η,ξ}(sl_2)$ its the universal R-matrix and also the RTT-realization of $Y_{η,ξ}(sl_2)$. | |
| dc.description | 13 pages, 44kb, LATEX | |
| dc.identifier | https://arxiv.org/abs/q-alg/9511005 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9511005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153457 | |
| dc.subject | Quantum Algebra | |
| dc.title | Deformation of Yangian $Y(sl_2)$ | |
| dc.type | text |