On Quadrirational Yang-Baxter Maps
Papageorgiou, V. G. · Suris, Yu. B. · Tongas, A. G. · Veselov, A. P.
Original · EN
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 maps corresponding to the geometric symmetries of pencils of quadrics.
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