MATH 6390

Lie Groups and Lie Algebras

Course Description

Course information provided by the Courses of Study 2024-2025. The Catalog/Courses of Study 2025-2026 is scheduled to publish mid-June.

Lie groups, Lie algebras, and their representations play an important role in much of mathematics, particularly in number theory, mathematical physics, and topology. This is an introductory course, meant to be useful for more advanced topics and applications. The relationship between Lie groups and Lie algebras will be highlighted throughout the course. A different viewpoint is that of algebraic groups. We will endeavor to discuss this along with the C∞ viewpoint.

When Offered Fall.

Prerequisites/Corequisites Prerequisite: basic knowledge of algebra and linear algebra at the honors level (e.g., MATH 4330-MATH 4340).

Comments Some knowledge of differential and algebraic geometry are helpful.

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