Lax Matrices for Yang-Baxter Maps

DOI

10.2991/jnmp.2003.10.s2.8How to use a DOI?

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 quagraphs has been recently discovered by A. Bobenko and one of the authors, and by F. Nijhoff.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Yuri B. Suris
AU  - Alexander P. Veselov
PY  - 2003
DA  - 2003/12/01
TI  - Lax Matrices for Yang-Baxter Maps
JO  - Journal of Nonlinear Mathematical Physics
SP  - 223
EP  - 230
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.8
DO  - 10.2991/jnmp.2003.10.s2.8
ID  - Suris2003
ER  -