Solutions of the Yang–Baxter equation associated with a left brace

David Bachiller, Ferran Cedó, Eric Jespers

Research output: Contribution to journalArticleResearchpeer-review

42 Citations (Scopus)


© 2016 Elsevier Inc. Given a left brace B, a method is given to construct explicitly all the non-degenerate involutive set-theoretic solutions (X,r) of the Yang–Baxter equation such that the associated permutation group G(X,r) is isomorphic, as a left brace, to B. This method depends entirely on the brace structure of B.
Original languageEnglish
Pages (from-to)80-102
JournalJournal of Algebra
Publication statusPublished - 1 Oct 2016


  • Brace
  • Set-theoretic solution
  • Yang–Baxter equation


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