← Theoretical / proof-based

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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

Symmetric spaces (preview)

Lie groups & Lie algebras · Theoretical / proof-based

Topic

Symmetric spaces (preview)

Practice by unit: Advanced topics

Graduate Lie Groups & Lie Algebras — scope drawn from open Lie theory notes and typical US graduate Lie groups syllabi.

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