Cocyclic braces and indecomposable cocyclic solutions of the Yang-Baxter equation

Autor: Jedlička, Přemysl, Pilitowska, Agata, Zamojska-Dzienio, Anna
Rok vydání: 2021
Předmět:
Zdroj: Proc. Amer. Math. Soc. 150 (2022), 4223-4239
Druh dokumentu: Working Paper
DOI: 10.1090/proc/15962
Popis: We study indecomposable involutive set-theoretic solutions of the Yang-Baxter equation with cyclic permutation groups (cocyclic solutions). In particular, we show that there is no one-to-one correspondence between indecomposable cocyclic solutions and cocyclic braces which contradicts recent results in \cite{Rump21}.
Databáze: arXiv