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.
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