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S. Properzi - Indecomposable involutive solutions to the Yang-Baxter equation of prime-squared size

Date
Date
Thursday 19 December 2024, 9.00 - 9.30
Abstract
In joint work with  Carsten Dietzel and Senne Trappeniers, we study involutive indecomposable  solutions to the Yang-Baxter equation. These solutions correspond to a transitive permutation group that encodes their combinatorial properties through an associated permutation skew brace. Building on works by  Jedlička-Pilitowska and Cedó-Okniński, we fully classify solutions of prime-squared size.