中文

关于Yang-Baxter方程三角解的构造

高能物理 - 理论 2009-10-28 v2

摘要

我们描述了对应于量子代数Uq(\G)U_q(\G)的任意两个不可约表示(无重数)的张量积的三角R矩阵的构造。我们的方法是张量积图方法对两个不同表示情况的推广。它给出了R矩阵分解为投影算符的形式。利用这种方法构造了许多新的三角R矩阵(依赖于谱参数的Yang-Baxter方程的解)的例子。

关键词

引用

@article{arxiv.hep-th/9405030,
  title  = {On the Construction of Trigonometric Solutions of the Yang-Baxter Equation},
  author = {Gustav W. Delius and Mark D. Gould and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:hep-th/9405030},
  year   = {2009}
}

备注

latex file, 29 pages, Universitaet Bielefeld and University of Queensland preprint, BI-TP-94/13, UQMATH-94-02 (minor correction: in eq. (4.63) the number 32 should be replaced by 36 and in eq. (4.64) -16 becomes -18 and -10 becomes -8.)