← Theoretical / proof-based

Get started Book tutoring

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

Representations of sl(2, C)

Representation theory · Theoretical / proof-based

Topic

Representations of sl(2, C)

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.

Get started Book tutoring All topics