1210.5107 (V. Caudrelier et al.)

Set-theoretical reflection equation: Classification of reflection maps    [PDF]

V. Caudrelier, N. Crampe, Q. C. Zhang

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.

View original: http://arxiv.org/abs/1210.5107