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MATH 843

REPRESENTATION THEORY

3 credits.

Introduction to the representation theory of Lie groups and their combinatorics. Universal enveloping algebras, highest weight modules, induction, restriction, weights, characters, multiplicity formulas, tensor products, Shapovalov forms, filtrations, Kazhdan-Zetlin patterns, Littelmann paths.

Prerequisites & course information

Requisites: Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program Course Designation: Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: Yes, unlimited number of completions Last Taught: Spring 2026

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