Reflection K-matrices

Reflection K-matrices
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反射 K 矩阵

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发表时间:
2006
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通讯作者:
A. Lima
A. Lima
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作者:
A. Lima

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研究了与D (2) n+1仿射李代数相关的顶点模型的边界Yang-Baxter方程的可能正则解。我们已经根据三种k矩阵对它们进行了分类。第一个有n + 2个自由参数所有的矩阵元素都是非空的。第二个解由一个只有一个自由参数的块对角矩阵给出。结果表明,对于n,存在第三类没有自由参数的k矩阵。
We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated to the D (2) n+1 affine Lie algebra. We have classified them in terms of three types of K-matrices. The first one have n + 2 free parameters and all the matrix elements are non-null. The second solution is given by a block diagonal matrix with just one free parameter. It turns out that for n even there exists a third class of K-matrix without free parameter.