Semisimple Leibniz algebras, their derivations and automorphisms

Due to Levi’s decomposition for Leibniz algebras an arbitrary finite-dimensional semisimple Leibniz algebra $L$ is represented as a semidirect sum of a semisimple Lie algebra and the ideal $I$ generated by squares of elements of the algebra $L$. This means that the problem is focused to investigation of the relation between the ideal $I$ and the semisimple Lie algebra. In proposed talk the description of the structures of complex finite-dimensional semisimple Leibniz algebras, their derivations and automorphisms will de described.