TY - JOUR
T1 - A family of solutions of the Yang-Baxter equation
AU - Bachiller, David
AU - Cedó, Ferran
PY - 2014/8/15
Y1 - 2014/8/15
N2 - 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.
AB - 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.
KW - $Yang-Baxter equation$Involutive non-degenerate solutions$Brace$IYB group
KW - Brace
KW - IYB group
KW - Involutive non-degenerate solutions
KW - Yang-Baxter equation
UR - https://www.scopus.com/pages/publications/84901586616
U2 - 10.1016/j.jalgebra.2014.05.011
DO - 10.1016/j.jalgebra.2014.05.011
M3 - Article
SN - 0021-8693
VL - 412
SP - 218
EP - 229
JO - Journal of Algebra
JF - Journal of Algebra
ER -