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Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 2, Pages 537–552
DOI: https://doi.org/10.1070/SM1984v049n02ABEH002726 (Mi sm2224) 		 
This article is cited in 33 scientific papers (total in 33 papers)

Lie algebras with an algebraic adjoint representation

E. I. Zel'manov
English version PDF (877 kB) Citations (33)
References:
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DOI: https://doi.org/10.1070/SM1984v049n02ABEH002726
Abstract: In this paper it is proved that a Lie algebra over a field of characteristic 0 with an algebraic adjoint representation is locally finite dimensional, provided the algebra satisfies a polynomial identity. In particular, a Lie algebra (over a field of characteristic 0) whose adjoint representation is algebraic of bounded degree is locally finite dimensional.
Bibliography: 22 titles.
Received: 20.06.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 121(163), Number 4(8), Pages 545–561
Bibliographic databases:
UDC: 519.48
MSC: Primary 17B65; Secondary 17C05
Language: English
Original paper language: Russian
Citation: E. I. Zel'manov, “Lie algebras with an algebraic adjoint representation”, Mat. Sb. (N.S.), 121(163):4(8) (1983), 545–561; Math. USSR-Sb., 49:2 (1984), 537–552
Citation in format AMSBIB
\Bibitem{Zel83}
\by E.~I.~Zel'manov
\paper Lie algebras with an algebraic adjoint representation
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 121(163)
\issue 4(8)
\pages 545--561
\mathnet{http://mi.mathnet.ru/sm2224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=716113}
\zmath{https://zbmath.org/?q=an:0544.17003}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 2
\pages 537--552
\crossref{https://doi.org/10.1070/SM1984v049n02ABEH002726}
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:503
    Russian version PDF:134
    English version PDF:18
    References:51
    First page:2
     
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