Abelian fixed point free endomorphisms and the Yang-Baxter equation

Autor:	Koch, Alan, Stordy, Laura, Truman, Paul J.
Rok vydání:	2020
Předmět:	Mathematics - Group Theory Mathematical Physics Mathematics - Number Theory Mathematics - Rings and Algebras 16T25 16T05 20N99
Druh dokumentu:	Working Paper
Popis:	We obtain a simple family of solutions to the set-theoretic Yang-Baxter equation, one which depends only on considering special endomorphisms of a finite group. We show how such an endomorphism gives rise to two non-degenerate solutions to the Yang-Baxter equation, solutions which are inverse to each other. We give concrete examples using dihedral, alternating, symmetric, and metacyclic groups. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.13196 Zobrazit plný text záznamu View this record from Arxiv