Rota–Baxter operators of nonzero weight on the matrix algebra of order three | Sciact - Система учета научной деятельности ИМ СО РАН

Rota–Baxter operators of nonzero weight on the matrix algebra of order three Научная публикация

Журнал

Linear and Multilinear Algebra
ISSN: 0308-1087

Вых. Данные

Год: 2022, Том: 70, Номер: 6, Страницы: 1055-1080 Страниц : 26 DOI: 10.1080/03081087.2020.1751036

Ключевые слова

16W99; matrix algebra; Rota–Baxter operator; sum of fields

Авторы

Goncharov M. ^1,2 , Gubarev V. ^1,2

Организации

1	Department of Mathematics and Mechanics, Novosibirsk State University, Novosibirsk, Russian Federation
2	Laboratory of Algebra, Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Информация о финансировании (2)

1	Институт математики им. С.Л. Соболева СО РАН	0314-2019-0001
2	Российский научный фонд	19-11-00039

We classify all Rota–Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which do not arise from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.

Goncharov M. , Gubarev V.
Rota–Baxter operators of nonzero weight on the matrix algebra of order three
Linear and Multilinear Algebra. 2022. V.70. N6. P.1055-1080. DOI: 10.1080/03081087.2020.1751036 WOS Scopus РИНЦ OpenAlex

≡ Web of science:	WOS:000557997500001
≡ Scopus:	2-s2.0-85083551331
≡ РИНЦ:	43271505
≡ OpenAlex:	W3016238707