In this program
- Peter–Weyl theorem (compact groups)
- Tensor products
- Clebsch–Gordan decomposition (introduction)
- Category of representations
- Schur's lemma
- Introduction to geometric representation theory
- Applications to symmetric functions
- Combinatorics
Advanced topics
Introduction to geometric representation theory
Representation theory · Theoretical / proof-based
Topic
Introduction to geometric representation theory
Graduate Representation Theory — scope drawn from open representation theory notes and typical US graduate representation theory syllabi.