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AN EXAMPLE OF A SIMPLE DOUBLE LIE ALGEBRA Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2021, Volume: 18, Number: 2, Pages: 834-844 Pages count : 11 DOI: 10.33048/semi.2021.18.062
Tags double Lie algebra; Rota—Baxter operator
Authors Gubarev V. 1
Affiliations
1 Sobolev Institute of Mathematics 4, KOPTYUGA AVE., Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russian Federation

Funding (1)

1 Президент РФ 075-15-2021-129, MK-1241.2021.1.1

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.
Cite: Gubarev V.
AN EXAMPLE OF A SIMPLE DOUBLE LIE ALGEBRA
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.834-844. DOI: 10.33048/semi.2021.18.062 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000695712900001
Scopus: 2-s2.0-85115386558
OpenAlex: W3200069592
Citing:
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Scopus 1
OpenAlex 1
Web of science 1
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