Resources

Notes

I will be updating the course notes as the course goes in a GitHub Repository. However, the latest version will always be available here.

Multilinear Algebra
as of January 23, 2023 at 12:30 pm: LaTeX PDF

Introduction to Representation Theory
as of January 28, 2023 at 10:00 am: LaTeX PDF

Character Theory
as of February 15, 2023 at 9:30 am: LaTeX PDF

Induced Representations
as of February 27, 2023 at 10:00 am: LaTeX PDF

Symmetric Groups and General Linear Groups
as of March 10, 2023 at 6:30 pm: LaTeX PDF

Modules and Wedderburn Theory
as of April 13, 2023 at 9:40 am: LaTeX PDF

Representations over Non-closed Fields
as of April 21, 2023 at 10:35 am: LaTeX PDF

Bibliography
as of April 13, 2023 at 9:40 am: BibTeX

Assignments

• Assignment 1 - Due February 2
  PDF TeX Solutions Template
  Partial solutions: PDF TeX

• Assignment 2 - Due February 16
  PDF TeX Solutions Template

• Assignment 3 - Due March 2
  PDF TeX Solutions Template

• Assignment 4 - Due March 23
  PDF TeX Solutions Template

• Assignment 5 - Due April 6
  PDF TeX Solutions Template

• Assignment 6 - Due April 20
  PDF TeX Solutions Template

Bibliography

There is no textbook for the course, but I will be drawing from several different sources:

• J.-L. Alperin. Local Representation Theory
• J.-L. Alperin and R. Bell. Groups and Representations
• C. Curtis and I. Reiner. Representation Theory of Finite Groups and Associative Algebras
• P. Etingof et al. Introduction to Representation Theory
• W. Fulton and J. Harris. Representation Theory: A First Course
• I. Macdonald. Symmetric Functions and Hall Polynomials
• J.-P. Serre. Linear Representations of Finite Groups
• R. Stanley. Enumerative Combinatorics, Volume 2