Abstract
In general it is a very difficult task to find statistical mechanical models which satisfy the Yang-Baxter equations and thus are completely integrable. We propose a new approach leading to a (overdetermined) set oflinear equations. The formalism is applied to the Ising and the Ashkin-Teller models, which are both self-duals in two dimensions. Preliminary results for a symbolic algebra manipulation program is given, which would derive the relevant set of equations for an arbitrary internal spin symmetry group.
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