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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 870–879
DOI: https://doi.org/10.33048/semi.2022.19.073 (Mi semr1546) 		 
Mathematical logic, algebra and number theory

The description of Rota-Baxter operators of nonzero weight on complex general linear Lie algebra of order $2$

M. Goncharovab

a Sobolev Institute of Mathematics, Russia
b Novosibirsk State University, Department of Mechanics and Mathematics, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.073
Abstract: In the paper, a classification of Rota-Baxter operators of weight $1$ on general linear complex Lie algebra of order $2$ is given. The description was made up to the action of $Aut(gl_2(\mathbb C))$.
Keywords: Lie algebra, Rota—Baxter operator, general linear Lie algebra.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0002
The work was supported RAS Fundamental Research Program, project FWNF-2022-0002.
Received August 17, 2022, published November 30, 2022
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 17B38
Language: English
Citation: M. Goncharov, “The description of Rota-Baxter operators of nonzero weight on complex general linear Lie algebra of order $2$”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 870–879
Citation in format AMSBIB
\Bibitem{Gon22}
\by M.~Goncharov
\paper The description of Rota-Baxter operators of nonzero weight on complex general linear Lie algebra of order~$2$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 870--879
\mathnet{http://mi.mathnet.ru/semr1546}
\crossref{https://doi.org/10.33048/semi.2022.19.073}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4518794}
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