Poisson-Lie structures on the external algebra of $SL(2)$ and their quantization
| dc.creator | Aref'eva, I. Ya. | |
| dc.creator | Arutyunov, G. E. | |
| dc.creator | Medvedev, P. B. | |
| dc.date | 1994-01-26 | |
| dc.date | 1994-01-28 | |
| dc.date.accessioned | 2026-07-07T09:01:28Z | |
| dc.date.available | 2026-07-07T09:01:28Z | |
| dc.description | All possible graded Poisson-Lie structures on the external algebra of $SL(2)$ are described. We prove that differential Poisson-Lie structures prolonging the Sklyanin brackets do not exist on $SL(2)$. There are two and only two graded Poisson-Lie structures on $SL (2)$ and neither of them can be obtained by a reduction of graded Poisson-Lie structures on the external algebra of $GL(2)$. Both of them can be quantized and as a result we get a new graded algebra of quantum right-invariant forms on $SL_q(2)$ with three generators. | |
| dc.description | 17 pages. Latex errors corrected and references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/9401127 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9401127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148328 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Poisson-Lie structures on the external algebra of $SL(2)$ and their quantization | |
| dc.type | text |