Course Language:

English

Course Objectives:

To introduce basic facts about representation theory of groups and to find a representation of a group as a group of matrices in order to have a concrete description of this group.

Course Content:

Generalities and basic definitions. Sums, quotients, tensor products, characters and decompositions of representations. Group algebra. Generalities on algebras and modules, semi-simple modules. Invertible and nilpotent elements. Idempotents. The Jacobson radical. Semi-simple and local algebras. Projective modules. Primitive decompositions and points. Blocks of an algebra. Duality. Symmetric algebras.

Course Methodology:

1: Lecture, 2: Problem Solving

Course Evaluation Methods:

A: Written examination, B: Homework