A new method to construct involutive non-degenerate set-theoretic solutions (X n, r(n)) of the Yang-Baxter equation, for any positive integer n, from a given solution (X, r) is presented. Furthermore, the permutation group G(Xn,r(n)) associated with the solution (X n, r(n)) is isomorphic to a subgroup of G(X,r), and in many cases G(Xn,r(n))≅G(X,r). © 2014 Elsevier Inc.
- $Yang-Baxter equation$Involutive non-degenerate solutions$Brace$IYB group
- IYB group
- Involutive non-degenerate solutions
- Yang-Baxter equation