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Course: Math 636: Representation Theory
Instructor: Professor Jeffrey Adams
Time: 12-12:50
Location: Math 1313
Office Hours: TBA
For complete information see the Class Elms page
Note: I am out of town until Thursday. The first day of classes will be
Friday, January 31.
We'll be covering the theory of finite dimensional representations of compact Lie groups, complex reductive groups and Lie algebras. Topics include:
- Structure theory, the Weyl group
- SL(2)
- Highest weight theory
- Freudenthal's formula
- The Weyl character formula
- Infinitesimal character and Harish-Chandra's theorem
- Verma modules and category O
- The Atlas of Lie Groups and Representations software
The basic reference is Lie Algebras and Representation Theory by Jim Humphreys, but there will be other resources as well.
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