Analogs of q-Serre relations in the Yang-Baxter algebras
| dc.creator | Luedde, Mirko | |
| dc.creator | Vladimirov, Alexei | |
| dc.date | 1998-08-17 | |
| dc.date.accessioned | 2026-07-07T05:25:44Z | |
| dc.date.available | 2026-07-07T05:25:44Z | |
| dc.description | Yang-Baxter bialgebras, as previously introduced by the authors, are shown to arise from a double crossproduct construction applied to the bialgebra R T T = T T R, E T = T E R, Δ(T) = T \hat{\otimes} T, Δ(E) = E \hat{\otimes} T + 1 \hat{\otimes} E and its skew dual, with R being a numerical matrix solution of the Yang-Baxter equation. It is further shown that a set of relations generalizing q-Serre ones in the Drinfeld-Jimbo algebras U_q(g) can be naturally imposed on Yang-Baxter algebras from the requirement of non-degeneracy of the pairing. | |
| dc.description | 6 pages, LaTeX, no figures, presented at the 7th Colloquium ``Quantum Groups and Integrable Systems", Prague, June 1998 | |
| dc.identifier | https://arxiv.org/abs/math/9808075 | |
| dc.identifier | http://arxiv.org/abs/math/9808075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77291 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Analogs of q-Serre relations in the Yang-Baxter algebras | |
| dc.type | text |