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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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/

[1] Grishkov A. N., “Stroenie i predstavleniya binarno-lievykh algebr”, Izv. AN SSSR. Ser. matem., 44:5 (1980), 999–1030 | MR | Zbl

[2] Grishkov A. N., “Analog teoremy Levi dlya algebr Maltseva”, Algebra i logika, 16:4 (1977), 389–396 | MR | Zbl

[3] Kuzmin E. N., “Teorema Levi dlya algebr Maltseva”, Algebra i logika, 16:4 (1977), 424–431 | MR

[4] Karlsson R., “On the exceptional central simple non-Lie Malcev algebras”, TAMS, 244 (1978), 173–184 | DOI | MR

[5] Grishkov A. N., “Konechnomernye i algebraicheskie binarno-lievy algebry”, Tezisy 16-i Vsesoyuznoi algebraicheskoi konferentsii, chast 2, Leningrad, 1981