Syllabus
1. Fundamentals of representation theory: Maschke's theorem, Schur's lemma, counting representations, direct and tensor product of representations, module-theoretic approach
2. Characters, orthogonality relation.
3. Representations of the symmetric group, hook length formula
4. The degree theorem, Burnside's pq theorem
5. Fourier analysis on finite groups
Annotation
Elements of theory of representations of groups.
The course may not be taught every academic year, it will be taught at least once every two years.