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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 2098–2109
DOI: https://doi.org/10.33048/semi.2019.16.149 (Mi semr1190) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang–Baxter equation on quadratic Lie algebras

M. E. Goncharovab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Department of Mechanics and Mathematics, Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.149
Abstract: We study possible connections between Rota-Baxter operators of non-zero weight and non-skew-symmetric solutions of the classical Yang–Baxter equation on finite-dimensional quadratic Lie algebras. The particular attention is made to the case when for a solution $r$ the element $r+\tau(r)$ is $L$-invariant.
Keywords: Rota–Baxter operator, quadratic Lie algebra, non-associative bialgebra, classical Yang–Baxter equation.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1, project 0314-2019-0001
The work is supported by the Program of fundamental scientific researches of the Siberian Branch of Russian Academy of Sciences, I.1.1, project 0314-2019-0001.
Received September 30, 2019, published December 27, 2019
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 16T25,17B62,17D10,17A36
Language: English
Citation: M. E. Goncharov, “Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang–Baxter equation on quadratic Lie algebras”, Sib. Èlektron. Mat. Izv., 16 (2019), 2098–2109
Citation in format AMSBIB
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\by M.~E.~Goncharov
\paper Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang--Baxter equation on quadratic Lie algebras
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 2098--2109
\mathnet{http://mi.mathnet.ru/semr1190}
\crossref{https://doi.org/10.33048/semi.2019.16.149}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000509878700001}
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