Extensions of Yang–Baxter sets | Sciact - Система учета научной деятельности ИМ СО РАН

Extensions of Yang–Baxter sets Научная публикация

Журнал

Theoretical and Mathematical Physics (Russian Federation)
ISSN: 0040-5779 , E-ISSN: 1573-9333

Вых. Данные

Год: 2023, Том: 215, Номер: 2, Страницы: 609-621 Страниц : 13 DOI: 10.1134/S0040577923050021

Ключевые слова

Yang–Baxter equation, set-theoretic solution, quandle, Hopf algebra, extension of YangBaxter sets, product of Yang–Baxter sets, Drinfeld twist

Авторы

Bardakov V.G. ^1,2,3 , Talalaev D.V. ^4,5

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russia
2	Novosibirsk State Agrarian University, Novosibirsk, Russia
3	Regional Scientific and Educational Mathematical Center of Tomsk State University, Dobrolyubova street, Tomsk, Russia
4	Lomonosov Moscow State University, Moscow, Russia
5	Demidov Yaroslavl State University, Yaroslavl, Russia

Информация о финансировании (1)

Министерство науки и высшего образования РФ

075-02-2024-1437

This paper is a first step in constructing the category of braided sets and its closest relative, the category of Yang-Baxter sets. Our main emphasis is on the construction of morphisms and extensions of Yang-Baxter sets. This problem is important for the possible constructions of new solutions of the Yang-Baxter equation and the braid equation. Our main result is the description of a family of solutions of the Yang-Baxter equation on B circle times C and on B x C, given two linear (set-theoretic) solutions (B, R-B) and (C, R-C) of the Yang-Baxter equation.

Bardakov V.G. , Talalaev D.V.
Extensions of Yang–Baxter sets
Theoretical and Mathematical Physics (Russian Federation). 2023. V.215. N2. P.609-621. DOI: 10.1134/S0040577923050021 WOS Scopus РИНЦ OpenAlex

Бардаков В.Г. , Талалаев Д.В.
Расширения множеств Янга-Бакстера
Теоретическая и математическая физика. 2023. Т.215. №2. С.176-189. DOI: 10.4213/tmf10383 РИНЦ OpenAlex

Поступила в редакцию:	13 окт. 2022 г.
Принята к публикации:	25 дек. 2022 г.
Опубликована в печати:	19 мая 2023 г.
Опубликована online:	19 мая 2023 г.

Web of science:	WOS:000992788200002
Scopus:	2-s2.0-85160916123
РИНЦ:	61663049
OpenAlex:	W4377101405

БД	Цитирований
Web of science	1
Scopus	2
OpenAlex	3
РИНЦ	1