Yangian Double and Rational R-matrix
| dc.creator | Khoroshkin, Sergei | |
| dc.creator | Tolstoy, Valeriy N. | |
| dc.date | 1994-06-29 | |
| dc.date.accessioned | 2026-07-07T09:14:20Z | |
| dc.date.available | 2026-07-07T09:14:20Z | |
| dc.description | Studying the algebraic structure of the double ${\cal D}Y(g)$ of the yangian $Y(g)$ we present the triangular decomposition of ${\cal D}Y(g)$ and a factorization for the canonical pairing of the yangian with its dual inside ${\cal D}Y(g)$. As a consequence we obtain an explicit formula for the universal R-matrix $R$ of ${\cal D}Y(g)$ and demonstrate how it works in evaluation representations of $Y(sl_2)$. We interprete one-dimensional factor arising in concrete representations of $R$ as bilinear form on highest weight polynomials of irreducible representations of $Y(g)$ and express this form in terms of {\it gamma-functions}. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9406194 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9406194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152635 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Yangian Double and Rational R-matrix | |
| dc.type | text |