A characterization of finite multipermutation solutions of the Yang-Baxter equation

• Autores: David Bachiller Pérez, Ferran Cedó , L. Vendramin
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 62, Nº 2, 2018, págs. 641-649
• Idioma: inglés
• DOI: 10.5565/publmat6221809
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• Resumen

  • 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.