$E_{\tau,\eta}(so_3)$ 椭圆量子群的 Bethe 态构造
量子代数
2008-04-24 v2 数学物理
math.MP
可精确求解与可积系统
摘要
椭圆量子群可与统计力学的星-三角关系解相关联。本文考虑 椭圆量子群的特殊情形。在代数 Bethe ansatz 的框架下,我们针对在 的任意表示中定义的转移矩阵,构造了相应的 Bethe 产生算子。
引用
@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}
}
备注
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/