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math.QA2016
Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks
David Bachiller
Given a skew left brace , a method is given to construct all the non-degenerate set-theoretic solutions of the Yang Baxter equation such that the associated permutation…
math.GR2016★ 2 cited
Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation
D. Bachiller, F. Cedó, E. Jespers +1
Braces were introduced by Rump as a promising tool in the study of the set-theoretic solutions of the Yang-Baxter equation. It has been recently proved that, given a left brace …