Murphy elements from the double-row transfer matrix
نویسنده
چکیده
We consider the double-row (open) transfer matrix constructed from generic 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. We then expand the open transfer matrix and extract the associated Murphy elements, suitable combinations of which as has been shown are centralizers of the corresponding Hecke algebra.
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