Set-theoretical reflection equation: Classification of reflection maps Auteur(s): Caudrelier V., Crampé N., Zhang Q. C. (Article) Publié: Journal Of Physics A: Mathematical And Theoretical, vol. 46 p.095203 (2013) Texte intégral en Openaccess : Ref HAL: hal-00789371_v1 Ref Arxiv: 1210.5107 DOI: 10.1088/1751-8113/46/9/095203 WoS: 000315154000011 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 14 Citations Résumé: The set-theoretical reflection equation and its solutions, the reflection maps, recently introduced by two of the authors, is presented in general and then applied in the context of quadrirational Yang-Baxter maps. We provide a method for constructing reflection maps and we obtain a classification of solutions associated to all the families of quadrirational Yang-Baxter maps that have been classified recently. |