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

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

Bachiller Pérez, David; Cedó Giné, Ferran; Vendramin, L.

Publicacions matemàtiques, 2018, 2018-00-00, Volume: 62, Issue: 2

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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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Bachiller Pérez, David | Cedó Giné, Ferran | Vendramin, L.

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