In this program
- Universal enveloping algebras (introduction)
- Haar measure and integration on compact groups
- Symmetric spaces (preview)
- Lie cohomology (optional)
- Applications to differential geometry and physics
Advanced topics
Applications to differential geometry and physics
Lie groups & Lie algebras · Theoretical / proof-based
Topic
Applications to differential geometry and physics
Graduate Lie Groups & Lie Algebras — scope drawn from open Lie theory notes and typical US graduate Lie groups syllabi.