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- Set-theoretical reflection equation: Classification of reflection maps doi link

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 : arxiv


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DOI: 10.1088/1751-8113/46/9/095203
WoS: 000315154000011
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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.