Lax matrices for Yang-Baxter maps

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.

References in corpus (2)

• Integrable systems on quad-graphs
• Geometric crystals and set-theoretical solutions to the quantum Yang-Baxter equation

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