双行转移矩阵的墨菲元素
Murphy elements from the double-row transfer matrix
摘要：
我们考虑双行（开）转移矩阵构造的一般张量型表示的各种类型的Hecke代数。对于相关的可积格模型的边界条件的不同选择，我们表示的双行传输矩阵仅在相应的Hecke代数（张量型实现）的生成元。然后，我们扩展开放的传递矩阵，并从扩展的第一/最后一项中提取相关的墨菲元素。墨菲元素的适当组合与相应的Hecke代数交换。
英文摘要：
We consider the double-row (open) transfer matrix constructed from generic tensor-type representations of various types of Hecke algebras. For different choices of boundary conditions for the relevant integrable lattice model we express the double-row transfer matrix solely in terms of generators of the corresponding Hecke algebra (tensor-type realizations). We then expand the open transfer matrix and extract the associated Murphy elements from the first/last terms of the expansion. Suitable combinations of the Murphy elements as has been shown commute with the corresponding Hecke algebra.
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