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arXiv · 1210.5107

Set-theoretical reflection equation: Classification of reflection maps

V. Caudrelier·N. Crampe·Q. C. Zhang
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Abstract

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.

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BibTeXRIS

V. Caudrelier, N. Crampe, Q. C. Zhang. 2013-01-31. Set-theoretical reflection equation: Classification of reflection maps. https://doi.org/10.1088/1751-8113%2F46%2F9%2F095203

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