The Potts model representation and a Robinson–Schensted correspondence for the partition algebra
The Potts model representation and a Robinson–Schensted correspondence for the partition algebra
复制标题
分区代数的 Potts 模型表示和 Robinson-Schensted 对应关系
作者：
P. Martin;G. Rollet
我们在有限集 M 的划分集合与图上相同顶点的游走对集合之间构建了对应关系，给出了 M 上划分代数的 Bratteli 图。这是有限集的排列集合与相同形状的 Young 表格对集合之间的对应关系的精确模拟，称为 Robinson-Schensted 对应关系。
We construct a correspondence between the set of partitions of a finite set M and the set of pairs of walks to the same vertex on a graph giving the Bratteli diagram of the partition algebra on M. This is the precise analogue of the correspondence between the set of permutations of a finite set and the set of pairs of Young tableaux of the same shape, called the Robinson–Schensted correspondence.