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arXiv · hep-th/9403130

Baxterization, dynamical systems, and the symmetries of integrability

C. Viallet
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Abstract

We resolve the `baxterization' problem with the help of the automorphism group of the Yang-Baxter (resp. star-triangle, tetrahedron, \dots) equations. This infinite group of symmetries is realized as a non-linear (birational) Coxeter group acting on matrices, and exists as such, {\em beyond the narrow context of strict integrability}. It yields among other things an unexpected elliptic parametrization of the non-integrable sixteen-vertex model. It provides us with a class of discrete dynamical systems, and we address some related problems, such as characterizing the complexity of iterations.

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C. Viallet. 1994-03-22. Baxterization, dynamical systems, and the symmetries of integrability. https://doi.org/10.1007/3-540-58453-6_2

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