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MA 725 Lie Algebra Representation Theory

²Ñ´¡Ìý725ÌýÌýLie Algebra Representation TheoryÌýÌý(3 credit hours)ÌýÌý

Semisimple Lie algebras, root systems, Weyl groups, Cartan matrices and Dynkin diagrams, universal enveloping algebras, Serre's Theorem, Kac-Moody algebras, highest weight representations of finite dimensional semisimple algebras and affine Lie algebras, Kac-Weyl character formula.

Prerequisite: ²Ñ´¡Ìý720

Typically offered in Fall only

This course is offered alternate odd years