The goal of this work is describe the nite dimensional representationsof semisimple Lie algebras g over C, where g also has finite dimension. Initially, is necessary the study of Cartan subalgebras, together of root systems, ...

The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...