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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

Lie groups: examples and exponential map

Representation theory · Theoretical / proof-based

Topic

Lie groups: examples and exponential map

Practice by unit: Lie groups and Lie algebras

Graduate Representation Theory — scope drawn from open representation theory notes and typical US graduate representation theory syllabi.

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