Lie Theory

This module studies Lie groups/algebras and their finite dimensional representations. It covers the following topics: Lie groups and Lie algebras, maximal tori, Weyl group, root systems and Dynkin diagram, structure of (compact) semisimple Lie groups/algebras representations, highest weight theory and Weyl character formula. The course is suitable for graduate students with interest in number theory, representation theory, topology or geometry.

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