On the matched product of set-theoretical solutions
March 20, 2019
11.00 – 13.00 – M5
Paola Stefanelli
The problem of finding set-theoretical solutions of the
Yang-Baxter equation [2] (shortly solutions) has been dealt with from
different points of view in the last years.
In [1] a novel construction technique for solutions was developed, the matched product.
In this talk, we will display a method to construct new classes of particular solutions through
the matched product of other solutions in the same class. As a particular case, starting from
involutive (resp. idempotent) solutions the matched product is still
involutive (resp. idempotent), and vice versa.
[1] F. Catino, I. Colazzo, P. Stefanelli, The matched product of set-theoretical solutions of the Yang-Baxter equation, submitted.
[2] V.G. Drinfeld, On some unsolved problems in quantum group theory. Lecture Notes in Math. 1510 (1992) 1-8.
