Distributive biracks and solutions of the Yang-Baxter equation

Autor:	Jedlička, Přemysl, Pilitowska, Agata, Zamojska-Dzienio, Anna
Rok vydání:	2019
Předmět:	Mathematics - Quantum Algebra 16T25 20F18 20B35 08A30
Zdroj:	Internat.J.Algebra Comput. 30 (2020), 667-683
Druh dokumentu:	Working Paper
DOI:	10.1142/S0218196720500150
Popis:	We investigate a class of non-involutive solutions of the Yang-Baxter equation which generalize self-distributive (derived) solutions. In particular, we study generalized multipermutation solutions in this class. We show that the Yang-Baxter (permutation) groups of such solutions are nilpotent. We formulate the results in the language of biracks. Comment: Previous title was "Multipermutation distributive solutions of Yang-Baxter equation have nilpotent permutation groups"
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.03960 Zobrazit plný text záznamu View this record from Arxiv