On quadrirational Yang-Baxter maps

V. G. Papageorgiou, Yu B. Suris, A. G. Tongas, A. P. Veselov

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

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.

Original languageEnglish
Article number033
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume6
DOIs
StatePublished - 2010
Externally publishedYes

Keywords

  • Birational maps
  • Integrability
  • Yang-Baxter maps

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