Abstract
Antisymmetric fusions of the Belavin model with integrable open boundary conditions are studied. The centre of the corresponding operator algebra, the Sklyanin determinant, is constructed. We prove that the transfer matrices of the fusion hierarchies mutually commute. Utilizing the factorized L operators, this commuting family is expressed as mutually commuting difference operators acting on a function space. This gives Ruijsenaars-Macdonald-type commuting difference operators, which describe the conservation laws of an integrable system.
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