关于sl_2-不变R-矩阵的一个证明
On one ansatz for sl_2-invariant R-matrices
摘要：
利用将杨-巴克斯特方程约化到给定自旋的子空间上的方法，研究了正则sl 2不变R-矩阵R（lambda）的谱分解.对谱分解中几个最高系数的可能结构进行了限制。解释了自旋s=3时例外解的来源和结构。对常数R-矩阵进行了类似的分析。特别地，证明了置换矩阵P是“刚性”解。
英文摘要：
The spectral decomposition of regular sl_2-invariant R-matrices R(lambda) is studied by means of the method of reduction of the Yang-Baxter equation onto subspaces of a given spin. Restrictions on the possible structure of several highest coefficients in the spectral decomposition are derived. The origin and structure of the exceptional solution in the case of spin s=3 are explained. Analogous analysis is performed for constant R--matrices. In particular, it is shown that the permutation matrix P is a ``rigid'' solution.
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