A characterization of finite multipermutation solutions of the Yang–Baxter equation
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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.
Paraules clau:
Yang–Baxter equation, set-theoretic solution, brace, ordered groups, poly-(infinite cyclic) group
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Bachiller Pérez, David et al. “A characterization of finite multipermutation solutions of the Yang–Baxter equation”. Publicacions Matemàtiques, vol.VOL 62, no. 2, pp. 641–649, https://raco.cat/index.php/PublicacionsMatematiques/article/view/338223.
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