Generalization of Krinsky's commutativity proof of transfer matrices with Hamiltonians

Foundations of Physics 27 (11):1485-1494 (1997)
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Abstract

The commutativity of the 1-dimensional XY-h type Hamiltonian and the transfer matrix of a 2-dimensional spin-lattice model constructed from an R-matrix is studied by Sutherland's method. We generalize Krinsky's result to more general Hamiltonians and more general R matrices, and we obtain a generic condition on their parameters for the commutativity, which defines an irreducible algebraic manifold in the parameter space

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