Speaker: Bakhrom Omirov (Academician of TWAS)
In this course we shall present some classes of non-associative algebras and relations between them. Then we are going to give the sketch of structure of finite-dimensional Lie algebras. In particular, such notions as semisimplicity, nilpotency and solvability will be explained. The structure description of Lie algebras in terms of these notions will be presented. Then we shall focus on structure theory of Leibniz algebras. At the end, some other generalizations of Lie algebras will be introduced.