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Lax matrices for Yang-Baxter maps

Yuri Suris·Alexander Veselov
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Abstract

It is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantum Yang-Baxter equation) the Lax representation can be derived straight from the map itself. A similar phenomenon for 3D consistent equations on quad-graphs has been recently discovered by A. Bobenko and one of the authors, and by F. Nijhoff.

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BibTeXRIS

Yuri Suris, Alexander Veselov. 2003-04-09. Lax matrices for Yang-Baxter maps. https://doi.org/10.2991/jnmp.2003.10.s2.8

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