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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 834–844
DOI: https://doi.org/10.33048/semi.2021.18.062 (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
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DOI: https://doi.org/10.33048/semi.2021.18.062
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation MK-1241.2021.1.1
The work is supported by the grant of the President of the Russian Federation for young scientists (MK-1241.2021.1.1).
Received April 8, 2021, published July 30, 2021
Bibliographic databases:
Document Type: Article
UDC: 512.6
MSC: 16W99
Language: English
Citation: V. Gubarev, “An example of a simple double Lie algebra”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 834–844
Citation in format AMSBIB
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\by V.~Gubarev
\paper An example of a simple double Lie algebra
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 834--844
\mathnet{http://mi.mathnet.ru/semr1404}
\crossref{https://doi.org/10.33048/semi.2021.18.062}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000695712900001}
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