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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1533–1544
DOI: https://doi.org/10.17377/semi.2017.14.132 (Mi semr891) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On Rota–Baxter operators of non-zero weight arisen from the solutions of the classical Yang–Baxter equation

M. E. Goncharovab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Department of Mechanics and Mathematics, Novosibirsk State University, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.132
Abstract: Let $L$ be a simple anti-commutative algebra. In this paper we prove that a non skew-symmetric solution of the classical Yang–Baxter equation on $L$ with $L$-invariant symmetric part induces on $L$ a Rota–Baxter operator of a non-zero weight.
Keywords: Rota–Baxter operator, anti-commutative algebra, Lie algebra, Malcev algebra, non-associative bialgebra, classical Yang–Baxter equation.
Received October 27, 2017, published December 29, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 16T25,17B62,17D10,17A36
Language: English
Citation: M. E. Goncharov, “On Rota–Baxter operators of non-zero weight arisen from the solutions of the classical Yang–Baxter equation”, Sib. Èlektron. Mat. Izv., 14 (2017), 1533–1544
Citation in format AMSBIB
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\by M.~E.~Goncharov
\paper On Rota--Baxter operators of non-zero weight arisen from the solutions of the classical Yang--Baxter equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1533--1544
\mathnet{http://mi.mathnet.ru/semr891}
\crossref{https://doi.org/10.17377/semi.2017.14.132}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454861900063}
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