Geodesic
On the conjugacy of Levi factors in finite-dimensional binary-Lie algebras
Izvestiya. Mathematics , Tome 28 (1987) no. 2, pp. 305-334

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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. 
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     title = {On the conjugacy of {Levi} factors in finite-dimensional {binary-Lie} algebras},
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A. N. Grishkov. On the conjugacy of Levi factors in finite-dimensional binary-Lie algebras. Izvestiya. Mathematics , Tome 28 (1987) no. 2, pp. 305-334. http://geodesic.mathdoc.fr/item/IM2_1987_28_2_a3/