Matched product of solutions and semi-braces

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February 08, 2019
11.00 – 13.00 – Aula Benvenuti
Ilaria Colazzo

The study of the set-theoretical solutions of the Yang-Baxter equation (simply solutions) was introduced in [Drinfeld, 1992]. First, we will introduce a novel solutions construction technique called the matched product of solutions. Then we will give some interesting results which show that the matched product is a useful tool to construct solutions with specific proprieties, such as non-degeneracy and involutivness. Finally, we will introduce the definition of the matched product of two semi-braces and we will see the relationship between matched product of solutions and matched product of semi-braces.