Double Lie algebras of a nonzero weight | Sciact - Система учета научной деятельности ИМ СО РАН

Double Lie algebras of a nonzero weight Научная публикация

Журнал

Advances in Mathematics
ISSN: 0001-8708 , E-ISSN: 1090-2082

Вых. Данные

Год: 2022, Том: 409, Номер статьи : 108680, Страниц : DOI: 10.1016/j.aim.2022.108680

Ключевые слова

Double Lie algebra; Matrix algebra; Modified double Poisson algebra; Rota—Baxter operator

Авторы

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

Организации

1	Sobolev Institute of Mathematics, Acad. Koptyug ave. 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Pirogova str. 2, Novosibirsk, 630090, Russian Federation

Информация о финансировании (1)

Российский научный фонд

21-11-00286

We introduce the notion of λ-double Lie algebra, which coincides with usual double Lie algebra when λ=0. We show that every λ-double Lie algebra for λ≠0 provides the structure of modified double Poisson algebra on the free associative algebra. In particular, it confirms the conjecture of S. Arthamonov (2017). We prove that there are no simple finite-dimensional λ-double Lie algebras. © 2022 Elsevier Inc.

Goncharov M. , Gubarev V.
Double Lie algebras of a nonzero weight
Advances in Mathematics. 2022. V.409. 108680 . DOI: 10.1016/j.aim.2022.108680 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000866224600005
Scopus:	2-s2.0-85137709398
РИНЦ:	58829672
OpenAlex:	W3158136535

БД	Цитирований
Scopus	8
Web of science	7
OpenAlex	7