Session S16 - Quantum symmetries

Monday, July 19, 19:55 ~ 20:20 UTC-3

Decomposition theorems for involutive solutions to the Yang-Baxter equation

Santiago Ramírez

Universidad de Buenos Aires, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

There is a classic paper where Rump proved a conjecture of Gateva-Ivanova stating that all square-free solutions of the set theoretical Yang-Baxter equation are decomposable. These solutions can be characterized as those where a certain combinatorial invariant is the identity. Inspired by the result of Rump and using a recent theorem of Cedo, Jespers and Okninski we present similar results on (in)decomposable solutions in terms of the combinatorial invariant.

Joint work with Leandro Vendramin (Universidad de Buenos Aires, Argentina).

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