Set-theoretical reflection equation: Classification of reflection maps
Caudrelier, V., Crampe, N. & Zhang, Q. C. (2013). Set-theoretical reflection equation: Classification of reflection maps. Journal of Physics A: Mathematical and Theoretical, 46(9), article number 095203. doi: 10.1088/1751-8113/46/9/095203
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.
| Publication Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
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Official URL: http://iopscience.iop.org/1751-8121
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