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Algebra i logika, 2021, Volume 60, Number 6, Pages 557–568
DOI: https://doi.org/10.33048/alglog.2021.60.603 (Mi al2686) 		 
New examples of binary Lie superalgebras and algebras

A. N. Grishkovab, I. P. Shestakovcd, M. N. Rasskazovae

a Omsk State University
b Inst. Matem. Estat., Univ. São Paulo, São Paulo, BRASIL
c Dep. Mat., Univ. São Paulo, São Paulo, BRASIL
d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
e Omsk State Technical University
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DOI: https://doi.org/10.33048/alglog.2021.60.603
Abstract: New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal'tsev algebra.
Keywords: binary Lie superalgebra, binary Lie algebra.
Funding agency Grant number
National Council for Scientific and Technological Development (CNPq) 304313/2019-0
Fundação de Amparo à Pesquisa do Estado de São Paulo 2018/23690-6
2018/11292-6
Received: 17.08.2021
Revised: 08.04.2022
Document Type: Article
UDC: 510.649
Language: Russian
Citation: A. N. Grishkov, I. P. Shestakov, M. N. Rasskazova, “New examples of binary Lie superalgebras and algebras”, Algebra Logika, 60:6 (2021), 557–568
Citation in format AMSBIB
\Bibitem{GriSheRas21}
\by A.~N.~Grishkov, I.~P.~Shestakov, M.~N.~Rasskazova
\paper New examples of binary Lie superalgebras and algebras
\jour Algebra Logika
\yr 2021
\vol 60
\issue 6
\pages 557--568
\mathnet{http://mi.mathnet.ru/al2686}
\crossref{https://doi.org/10.33048/alglog.2021.60.603}
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