Geodesic
Structure and representation of binary-Lie algebras
Izvestiya. Mathematics , Tome 17 (1981) no. 2, pp. 243-269

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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. 
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     author = {A. N. Grishkov},
     title = {Structure and representation of {binary-Lie} algebras},
     journal = {Izvestiya. Mathematics },
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A. N. Grishkov. Structure and representation of binary-Lie algebras. Izvestiya. Mathematics , Tome 17 (1981) no. 2, pp. 243-269. http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a1/