Our primary focus is on the theory of skew braces, specifically exploring their connection
with combinatorial solutions to the Yang–Baxter equation. Skew braces have recently …

We find a method to construct iteratively from a non-degenerate involutive set-theoretic
solution of the Yang-Baxter equation an infinite family of very large non-degenerate …

Given two linear transformations, with representing matrices A and B with respect to some
bases, it is not clear, in general, whether the Tracy-Singh product of the matrices A and B …

A group is said to be an involutive Yang-Baxter group, or simply an IYB-group, if it is
isomorphic to the permutation group of an involutive, nondegenerate set-theoretic solution of …

The algebraic structure of skew left brace has become a useful tool to construct set-theoretic
solutions of the Yang-Baxter equation. In this survey we present some descriptions of skew …

Resum L'any 1967, en l'article [34] de Yang, va aparéixer l'equació quàntica de Yang-Baxter
(o YBE, per les seues inicials en anglès) per primera vegada. Aquesta és una equació …