Journal of Mathematical Physics

Necessary versus sufficient conditions for exact solubility of statistical models on lattices

Pierre Lochak, J.-M. Maillard

Published Feb 1, 1986• 10 citations

Abstract

It is shown that under rather mild conditions the triangle relation represents a necessary condition for the existence of commuting transfer matrices of arbitrary size. The cases of spin models and vertex models are treated separately.

DOI: 10.1063/1.527401

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