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

Publicacions matemàtiques, 2018, Vol.62 (2), p.641-649 [Peer Reviewed Journal]

ISSN: 0214-1493 ;EISSN: 2014-4350 ;DOI: 10.5565/PUBLMAT6221809

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  • Title:
    A characterization of finite multipermutation solutions of the Yang–Baxter equation
  • Author: Bachiller Pérez, David ; Cedó Giné, Ferran ; Vendramin, L.
  • Is Part Of: Publicacions matemàtiques, 2018, Vol.62 (2), p.641-649
  • Description: 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.
  • Language: Catalan;English
  • Identifier: ISSN: 0214-1493
    EISSN: 2014-4350
    DOI: 10.5565/PUBLMAT6221809
  • Source: Revistes Catalanes amb Acces Obert (RACO)
    Alma/SFX Local Collection

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