Przekształcenia diagonalne teoriozbiorowych rozwiązań równania Yanga-Baxtera

Prelegent(ci)

Premysl Jedlicka

Afiliacja

Czech University of Life Sciences Prague

Termin

13 czerwca 2024 12:15

Informacje na temat wydarzenia

online talk

Tytuł w języku angielskim

Diagonal mappings of set-theoretic solutions of the Yang-Baxter equation

Seminarium

Seminarium „Algebra”

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It is well known that, for involutive non-degenerate solutions of the Yang-Baxter equation, the operations $T(x)=\tau_x^{-1}(x)$ and $U(x)=\sigma_x^{-1}(x)$ are mutually inverse. We study these mappings in the non-involutive case, under different additional conditions (like bijectivity, non-degeneracy, left non-degeneracy). We also provide axiomatic description of multipermutation solutions which enables one to find a different shape of the diagonal mappings.

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