Indecomposable involutive solutions of the Yang–Baxter equation of multipermutational level 2 with abelian permutation group

Autor:	Agata Pilitowska, Anna Zamojska-Dzienio, Přemysl Jedlička
Rok vydání:	2021
Předmět:	Pure mathematics 16T25 20B35 Yang–Baxter equation Applied Mathematics General Mathematics Transitive group Group Theory (math.GR) Permutation group Automorphism FOS: Mathematics Abelian group Indecomposable module Mathematics - Group Theory Mathematics
Zdroj:	Forum Mathematicum. 33:1083-1096
ISSN:	1435-5337 0933-7741
Popis:	We present a construction of all finite indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level at most 2 with abelian permutation group. As a consequence, we obtain a formula for the number of such solutions with a fixed number of elements. We also describe some properties of the automorphism groups in this case - in particular, we show they are regular abelian groups. 14 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c748ac8fb05a74a03fc16a9a244292d1 https://doi.org/10.1515/forum-2021-0130 Zobrazit plný text záznamu