Construction of the Bethe State for the $E_{τ,η}(so_3)$ Elliptic Quantum Group
| dc.creator | Manojlovic, Nenad | |
| dc.creator | Nagy, Zoltan | |
| dc.date | 2006-12-04 | |
| dc.date | 2007-01-05 | |
| dc.date.accessioned | 2026-07-07T09:34:33Z | |
| dc.date.available | 2026-07-07T09:34:33Z | |
| dc.description | Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the $E_{τ,η}(so_3)$ elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of $E_{τ,η}(so_3)$. | |
| dc.description | This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0612086 | |
| dc.identifier | http://arxiv.org/abs/math/0612086 | |
| dc.identifier | SIGMA 3 (2007), 004, 10 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159533 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | 82B23; 81R12; 81R50 | |
| dc.title | Construction of the Bethe State for the $E_{τ,η}(so_3)$ Elliptic Quantum Group | |
| dc.type | text |