On Quadrirational Yang-Baxter Maps

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Papageorgiou, V.G., Suris, Yu.B., Tongas, A.G., Veselov, A.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146351
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Quadrirational Yang-Baxter Maps / V.G. Papageorgiou, Yu.B. Suris, A.G. Tongas, A.P. Veselov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ.

We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter map...