Mikhail Zaicev

Moscow State University (Russia)

Program

Definition and examples. General constructions: subalgebras and ideals,homomorphisms, upper and lower central series, nilpotent and soluble Lie algebras, Caresian product, direct and semidirect product, split extension. Structure theory: nilpotent and solvable radicals, simple and semisimple algebras.Levi-Maltsev decomposition, Cartan decomposition. Representations and modules: definition and examples, Ado - Iwasawa theorem, Engel theorem, Lie theorem. Universal enveloping algebra. Free Lie algebra.

O curso será oferecido em português.