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Mathematics of the USSR-Izvestiya, 1981, Volume 17, Issue 2, Pages 243–269
DOI: https://doi.org/10.1070/IM1981v017n02ABEH001334 (Mi im1949) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Structure and representation of binary-Lie algebras

A. N. Grishkov
English version PDF (1299 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM1981v017n02ABEH001334
Abstract: In this paper semisimple finite-dimensional binary-Lie algebras over a field of characteristic 0 are described. It is proved that a finite-dimensional binary-Lie semisimple algebra over a field of characteristic 0 is a Mal'tsev algebra, and an arbitrary finite-dimensional irreducible binary-Lie module over a semisimple Mal'tsev algebra is Mal'tsev.
Bibliography: 10 titles.
Received: 05.09.1979
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 5, Pages 999–1030
Bibliographic databases:
UDC: 519.48
MSC: Primary 17D99; Secondary 17D10, 17B99
Language: English
Original paper language: Russian
Citation: A. N. Grishkov, “Structure and representation of binary-Lie algebras”, Math. USSR-Izv., 17:2 (1981), 243–269
Citation in format AMSBIB
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\by A.~N.~Grishkov
\paper Structure and representation of binary-Lie algebras
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 2
\pages 243--269
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:379
    Russian version PDF:158
    English version PDF:37
    References:49
    First page:1
     
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