In this program
- Lie groups: examples and exponential map
- Lie algebras
- Semisimplicity
- Representations of sl(2, C)
- Weight spaces
- Root systems and Weyl group (introduction)
- Highest weight theory for semisimple Lie algebras (overview)
Lie groups and Lie algebras
Root systems and Weyl group (introduction)
Representation theory · Theoretical / proof-based
Topic
Root systems and Weyl group (introduction)
Graduate Representation Theory — scope drawn from open representation theory notes and typical US graduate representation theory syllabi.