In this program
- Definitions
- Irreducibles
- Maschke's theorem
- Complete reducibility
- Characters and orthogonality relations
- Induced and restricted representations
- Burnside's theorem and applications
Finite groups
Burnside's theorem and applications
Representation theory · Theoretical / proof-based
Topic
Burnside's theorem and applications
Graduate Representation Theory — scope drawn from open representation theory notes and typical US graduate representation theory syllabi.