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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2013

Set-theoretical reflection equation: Classification of reflection maps

Nicolas Crampé

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.

Dates et versions

hal-00789371 , version 1 (18-02-2013)

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Citer

V. Caudrelier, Nicolas Crampé, Q. C. Zhang. Set-theoretical reflection equation: Classification of reflection maps. Journal of Physics A: Mathematical and Theoretical, 2013, 46 (9), pp.095203. ⟨10.1088/1751-8113/46/9/095203⟩. ⟨hal-00789371⟩
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