Construction of the Bethe State for the $E_{\tau,\eta}(so_3)$ Elliptic Quantum Group
Quantum Algebra
2008-04-24 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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 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 .
Cite
@article{arxiv.math/0612086,
title = {Construction of the Bethe State for the $E_{\tau,\eta}(so_3)$ Elliptic Quantum Group},
author = {Nenad Manojlovic and Zoltan Nagy},
journal= {arXiv preprint arXiv:math/0612086},
year = {2008}
}
Comments
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/