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Mathematics of the USSR-Izvestiya, 1987, Volume 28, Issue 2, Pages 305–334
DOI: https://doi.org/10.1070/IM1987v028n02ABEH000886 (Mi im1481) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the conjugacy of Levi factors in finite-dimensional binary-Lie algebras

A. N. Grishkov
English version PDF (1331 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1987v028n02ABEH000886
Abstract: The main result is the determination of necessary and sufficient conditions for conjugacy of Levi factors of a finite-dimensional binary-Lie algebra over a field of characteristic $0$ (Theorem 5). In the course of the proof a detailed study of binary-Lie algebras coinciding with their squares is carried out. In particular, it is proved that the quotient of such an algebra modulo its center is a Mal'tsev algebra.
Bibliography: 5 titles.
Received: 18.01.1984
Bibliographic databases:
UDC: 519.48
MSC: Primary 17D99; Secondary 17D10, 17B99
Language: English
Original paper language: Russian
Citation: A. N. Grishkov, “On the conjugacy of Levi factors in finite-dimensional binary-Lie algebras”, Math. USSR-Izv., 28:2 (1987), 305–334
Citation in format AMSBIB
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\by A.~N.~Grishkov
\paper On the conjugacy of Levi factors in finite-dimensional binary-Lie algebras
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 2
\pages 305--334
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\crossref{https://doi.org/10.1070/IM1987v028n02ABEH000886}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=842585}
\zmath{https://zbmath.org/?q=an:0622.17010}
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    • This publication is cited in the following 1 articles:
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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