Decomposition Theorems for Involutive Solutions to the Yang–Baxter Equation
Motivated by the proof of Rump of a conjecture of Gateva–Ivanova on the decomposability of square-free solutions to the Yang–Baxter equation, we present several other decomposability theorems based on the cycle structure of a certain permutation associated with the solution.
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| Veröffentlicht in: | International mathematics research notices 2022-11, Vol.2022 (22), p.18078-18091 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Motivated by the proof of Rump of a conjecture of Gateva–Ivanova on the decomposability of square-free solutions to the Yang–Baxter equation, we present several other decomposability theorems based on the cycle structure of a certain permutation associated with the solution. |
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| ISSN: | 1073-7928 1687-0247 |
| DOI: | 10.1093/imrn/rnab232 |