A new construction of solutions to the Yang-Baxter equation

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May 29, 2019
11.00 – 13.00 – Aula Seminari
Paola Stefanelli

The pentagon equation (PE) is a basic equation of Mathematical Physics. 
Recent developments in this field of investigations can be found in [1]. In this talk, we show a new application of the PE. In particular, the PE turns out to be a useful tool to find set-theoretical solutions of the well-known Yang-Baxter equation. 

[1] F. Catino, M. Mazzotta, M.M. Miccoli: Set-theoretical solutions of the åpentagon equation on groups, Preprint available at arXiv:1902.04310.