MATH 8323 Representation Theory
This course will cover the key concepts in the representation theory of finite groups, Lie groups, and Lie algebras. First representations and characters of finite groups will be introduced, with emphasis on the symmetric group, covering results such as the Frobenius formula. Then, Lie groups and Lie algebras will be introduced, and the theory of their representations will be built to cover the Weyl Character formula and Cartan’s classification of simple complex Lie algebras. There will be an emphasis on examples and interdisciplinary applications.
Prerequisite
Consent of Instructor.
Offered
As scheduled