In this program
- Cartan subalgebras and root systems
- Weyl group and root reflections
- Dynkin diagrams
- Classification of simple Lie algebras
- Highest weight representations (overview)
- Compact Lie groups and maximal tori
Structure theory
Highest weight representations (overview)
Lie groups & Lie algebras · Theoretical / proof-based
Topic
Highest weight representations (overview)
Graduate Lie Groups & Lie Algebras — scope drawn from open Lie theory notes and typical US graduate Lie groups syllabi.