Lax matrices for Yang-Baxter maps

Details Lax matrices for Yang-Baxter maps Lax matrices for Yang-Baxter maps

2003-04-09

arxiv.org/abs/math/0304122v1

J. Nonlin. Math. Phys., 2003, vol. 10, Suppl. 2, p. 223-230

Mathematics

Quantum Algebra

Scientific paper

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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