A characterization of finite multipermutation solutions of the Yang-Baxter equation
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang-Baxter equation is a multipermutation solution if and only if its structure group G(X, r) admits a left ordering or equivalently it is poly-Z.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:191243 |
| Acceso en línea: | https://ddd.uab.cat/record/191243 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6221809 |
| Access Level: | acceso abierto |
| Palabra clave: | Yang-Baxter equation Set-theoretic solution Brace Ordered groups Poly-(infinite cyclic) group |
| Sumario: | We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang-Baxter equation is a multipermutation solution if and only if its structure group G(X, r) admits a left ordering or equivalently it is poly-Z. |
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