Drinfeldians
| dc.creator | Tolstoy, Valeriy N. | |
| dc.date | 1998-03-03 | |
| dc.date.accessioned | 2026-07-07T05:23:59Z | |
| dc.date.available | 2026-07-07T05:23:59Z | |
| dc.description | We construct two-parameter deformation of an universal enveloping algebra $U(g[u])$ of a polynomial loop algebra $g[u]$, where $g$ is a finite-dimensional complex simple Lie algebra (or superalgebra). This new quantum Hopf algebra called the Drinfeldian $D_{qη}(g)$ can be considered as a quantization of $U(g[u])$ in the direction of a classical r-matrix which is a sum of the simple rational and trigonometric r-matrices. The Drinfeldian $D_{qη}(g)$ contains $U_{q}(g)$ as a Hopf subalgebra, moreover $U_{q}(g[u])$ and $Y_η(g)$ are its limit quantum algebras when the $D_{qη}(g)$ deformation parameters $η$ goes to 0 and $q$ goes to 1, respectively. These results are easy generalized to a supercase, i.e. when $g$ is a finite-dimensional contragredient simple superalgebra. | |
| dc.description | 12 pages, LaTeX; talk presented at the International Workshop "Lie Theory and Its Applications in Physics II" (Clausthal, Germany, 1997) | |
| dc.identifier | https://arxiv.org/abs/math/9803008 | |
| dc.identifier | http://arxiv.org/abs/math/9803008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76661 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81R10, 17B37, 16W30 | |
| dc.title | Drinfeldians | |
| dc.type | text |