Two-parameter deformation of loop algebras and superalgebras
| dc.creator | Tolstoy, Valeriy N. | |
| dc.date | 1997-12-11 | |
| dc.date.accessioned | 2026-07-07T05:57:46Z | |
| dc.date.available | 2026-07-07T05:57:46Z | |
| dc.description | We discuss two-parameter deformations 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). These deformations are Hopf algebras. One deformation called Drinfeldian is a quantization of $U(g[u])$ in the direction of a classical r-matrix which is a sum of the simplest rational and trigonometric r-matrices. Another deformation (discussed only for the case $g=sl_{2}$) is a twisting of the usual Yangian $Y_η(sl_{2})$. | |
| dc.description | Communication presented in the 5th Wigner Symposium, Vienna,1997; 3 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/q-alg/9712028 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9712028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88106 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81R10, 17B37, 16W30 | |
| dc.title | Two-parameter deformation of loop algebras and superalgebras | |
| dc.type | text |