| General Information | Homework | Lecture Notes | Other Resources |
This is a graduate course in representation theory. The most important prerequisite (by far) is a first course in graduate algebra (Math 500).
A representation is a (linear) action by a group on a vector space. From this straightforward definition, we get a large variety of phenomena which relate to almost every area of mathematics.
The course plan (subject to change) is as follows. We will start with an overview of the representation theory of finite groups, moving into symmetric groups. We will then consider representations of Lie groups and Lie algebras (prior knowledge of Lie theory is not assumed). Finally, we will cover some number of miscellanous topics.
| Lecture | MWF 10:00am-10:50am Noyes Laboratory 164 |
|---|---|
| Instructor | Andrew Hardt Office: Harker Hall 204C Email: ahardt@illinois.edu Office Hours: MF 11:00am-11:50am, W 2:00pm-2:50pm |
| More Details | Syllabus | Gradescope | If you can't access the Gradescope course, email me |
Homework assignments will be roughly biweekly, generally due at 9am via Gradescope. Using LaTeX for your homework is strongly encouraged.
These are the sources we're following most closely in lecture.
Other books and notes you might find useful.
Useful, relevant, and/or fun. Feel free to send me anything interesting you run across.