Syllabus

• Representations and characters of groups.
• Groups and homomorphisms.
• FG-modules και group-algebras.
• Schur’s Lemma and Maschke’s Theorem.
• Group-algebras and irreducible modules.
• Conjugacy classes and characters.
• Character tables and orthogonality relations.
• Normal subgroups and lifted characters.
• Elementary examples of characters tables.
• Tensor products. Restricting representations to subgroups.
• Applications.

Course Outline