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Mathematics of the USSR-Izvestiya, 1986, Volume 26, Issue 3, Pages 553–590
DOI: https://doi.org/10.1070/IM1986v026n03ABEH001159 (Mi im1367) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Simple Lie algebras satisfying the standard Lie identity of degree 5

Yu. P. Razmyslov
English version PDF (2187 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/IM1986v026n03ABEH001159
Abstract: A description is given of simple Lie algebras over fields of characteristic different from two that satisfy the identity
$$ \sum_{\sigma\in S_4}\operatorname{sgn}(\sigma)[z,x_{\sigma(1)},x_{\sigma(2)},x_{\sigma(3)},x_{\sigma(4)}]=0. $$

Bibliography: 14 titles.
Received: 21.10.1983
Bibliographic databases:
UDC: 519.4
MSC: 17B20
Language: English
Original paper language: Russian
Citation: Yu. P. Razmyslov, “Simple Lie algebras satisfying the standard Lie identity of degree 5”, Math. USSR-Izv., 26:3 (1986), 553–590
Citation in format AMSBIB
\Bibitem{Raz85}
\by Yu.~P.~Razmyslov
\paper Simple Lie algebras satisfying the standard Lie identity of degree~5
\jour Math. USSR-Izv.
\yr 1986
\vol 26
\issue 3
\pages 553--590
\mathnet{http://mi.mathnet.ru/eng/im1367}
\crossref{https://doi.org/10.1070/IM1986v026n03ABEH001159}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=794957}
\zmath{https://zbmath.org/?q=an:0594.17014|0581.17008}
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  • https://www.mathnet.ru/eng/im/v49/i3/p592
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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