Lie Groups. 3 credits

Catalog description

The course is an introduction to Lie Theory. Topics include: Lie Groups and Their Lie Algebras, Homomorphisms, Lie Subgroups, Coverings, Simply Connected Lie Groups, Exponential Map, Continuous Homomorphisms, Closed Subgroups, The Adjoint Representation, Correspondence between Lie groups and Lie algebras, Root Systems, Dynkin Diagrams, Classification of simple Lie algebras, Introduction to Representations of Lie Groups. Offered by Mathematics . May not be repeated for credit.