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Izv. Akad. Nauk SSSR Ser. Mat., 1985, Volume 49, Issue 3, Pages 592–634 (Mi izv1367)  

This article is cited in 8 scientific papers (total in 8 papers)

Simple Lie algebras satisfying the standard Lie identity of degree 5

Yu. P. Razmyslov


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.

Full text: PDF file (4877 kB)
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English version:
Mathematics of the USSR-Izvestiya, 1986, 26:3, 553–590

Bibliographic databases:

UDC: 519.4
MSC: 17B20
Received: 21.10.1983

Citation: Yu. P. Razmyslov, “Simple Lie algebras satisfying the standard Lie identity of degree 5”, Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985), 592–634; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 3
\pages 592--634
\mathnet{http://mi.mathnet.ru/izv1367}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=794957}
\zmath{https://zbmath.org/?q=an:0594.17014|0581.17008}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 26
\issue 3
\pages 553--590
\crossref{https://doi.org/10.1070/IM1986v026n03ABEH001159}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. I. Molev, “On the algebraic structure of the Lie algebra of vector fields on the line”, Math. USSR-Sb., 62:1 (1989), 83–94  mathnet  crossref  mathscinet  zmath
    2. Yu. P. Razmyslov, “Simple Lie algebras in varieties generated by Lie algebras of cartan type”, Math. USSR-Izv., 31:3 (1988), 541–573  mathnet  crossref  mathscinet  zmath
    3. M. I. Kuznetsov, “Distributions over an algebra of truncated polynomial”, Math. USSR-Sb., 64:1 (1989), 187–205  mathnet  crossref  mathscinet  zmath
    4. S. P. Mishchenko, “On solvable subvarieties of the variety generated by the Witt algebra”, Math. USSR-Sb., 64:2 (1989), 415–426  mathnet  crossref  mathscinet  zmath
    5. S. P. Mishchenko, “On varieties of Lie algebras not containing a three-dimensional simple algebra”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 189–197  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. Askar Dzhumadil'daev, “Minimal identities for right-symmetric algebras”, Journal of Algebra, 225:1 (2000), 201  crossref
    7. Pogudin G.A., “Vronskian differentsirovanii”, Vestnik moskovskogo universiteta. seriya 1: matematika. mekhanika, 2011, no. 1, 63–65  elib
    8. Perez-Izquierdo J.M., “The Loop of Formal Power Series With Noncommutative Coefficients Under Substitution”, Sao Paulo J. Math. Sci., 13:1 (2019), 133–157  crossref  isi
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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