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Fall 2026 · Prof. Trevor Hyde

Math 301: Representation Theory

Welcome to the course site for Math 301: Representation Theory. All the course materials live here: the syllabus, problem sets, and other handouts.

Handouts

Syllabus

Syllabus Syllabus PDF

Handout 1: Group Theory Review

Handout 1 Handout PDF

Handout 2: Double Cosets as Affine Geometry

Handout 2 Handout PDF

Introduction to LaTeX

introduction_to_latex.pdf introduction_to_latex.tex

Problem Sets

Problem Set 99: $p$-Fixed Point Congruence and Sylow's TheoremsDue never, optional Problem Set!

Problem Set 99 Problem Set PDF LaTeX source

Problem Set 8: Character TablesDue Sunday, November 22nd by 11:59pm

Problem Set 8 Problem Set PDF LaTeX source

Problem Set 7: CharactersDue Friday, November 13th by 11:59pm

Problem Set 7 Problem Set PDF LaTeX source

Problem Set 6: Sum DecompositionsDue Friday, October 30th by 11:59pm

Problem Set 6 Solutions Problem Set PDF LaTeX source Solutions PDF

Problem Set 5: Linear RepresentationsDue Friday, October 2nd by 11:59pm

Problem Set 5 Solutions Problem Set PDF LaTeX source Solutions PDF

Problem Set 4: Products and MapsDue Friday, September 25 by 11:59pm

Problem Set 4 Solutions Problem Set PDF LaTeX source Solutions PDF

Problem Set 3: Orbits and StabilizersDue Friday, September 18th by 11:59pm

Problem Set 3 Solutions Problem Set PDF LaTeX source Solutions PDF

Problem Set 2: Group ActionsDue Friday, September 11th at 11:59pm

Problem Set 2 Solutions Problem Set PDF LaTeX source Solutions PDF

Problem Set 1: Warm UpDue Friday, September 4th at 11:59pm

Problem Set 1 Solutions Problem Set PDF LaTeX source Solutions PDF