RUS  ENG
Full version
JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2021 Volume 18, Issue 2, Pages 834–844 (Mi semr1404)
Mathematical logic, algebra and number theory

An example of a simple double Lie algebra

V. Gubarevab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia

Abstract: We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra to the infinite-dimensional case. We give the first example of a simple double Lie algebra.

Keywords: double Lie algebra, Rota—Baxter operator.

UDC: 512.6

MSC: 16W99

Received April 8, 2021, published July 30, 2021

Language: English

DOI: 10.33048/semi.2021.18.062



Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025