PMATH 445/745:
Representations of Finite Groups
Instructor: Faisal Al-Faisal
Office: MC 6509
Office Hours: Tue 11:30-1:00 and Fri 1:30-3:00
Announcements
- A8 deadline extended to Monday, Apr 7 at 7:00 PM.
- Mar 13: Test 2 is next Wednesday (Mar 19) in class. Coverage is Lectures 15-24 excluding sections 17.2 and 19.3. You will not be examined on the details of the proofs in 19.1 and 19.2 and you are not expected to have memorized the Frobenius character formula. Sample test.
- Feb 28: A5 updated with Q3 (and a bonus Q4).
- Feb 24: I have to cancel my office hour on Tuesday due to a conflict. I will be available Wednesday (Feb 26) from 1 to 3 PM.
- Feb 18: Office Hours during read week: Thu, Feb 20, 11-1.
- Feb 7: Reminder: Solutions to bonus problems on A2 and A4 due Monday, Feb
1724 before class. - Feb 5: Test 1 is next Wednesday (Feb 12) in class. Coverage is up to and including Lec 14. (You can skip section 14.1.) Sample test. [Update: Solutions (on LEARN).]
- Jan 27: A3Q3(b) was updated to fix a small issue with B=0. Please make sure to download the latest version. (You can find the old Q3(b) commented out in the tex file.)
- Jan 8: I doubt I'll be able to get to tensor products on Friday, so you do not have to submit A1Q5. I will move it to A2. I've updated the course notes with a preliminary version of Lecture 3 in case you want to get a headstart on A1.
- Jan 6: I won't have office hours this Tuesday (Jan 7). If you'd like to meet with me before Friday, you should be able to find me in my office on Wednesday between 2 and 4 PM.
Older announcements
Materials
- Course Outline
- Course Notes - Last Updated: Apr 4, 2025 [Changelog]
- Mathematical popculture:
- Excerpt from the Princeton Companion to Mathematics on representation theory
- E. Artin on the influence of Wedderburn on modern algebra (AMS Bulletin)
- MacTutor biographies: Frobenius, Schur, Burnside, Young, E. Artin, Wedderburn
Assignments
- Assignment 0: PDF - due: Never
- Assignment 1: PDF - tex Template - due: Friday, January 17 at 7:00 PM
- Assignment 2: PDF - tex Template - due: Friday, January 24 at 7:00 PM
- Assignment 3: PDF - tex Template - due: Friday, January 31 at 7:00 PM
- Assignment 4: PDF - tex Template - due: Friday, February 7 at 7:00 PM
- Assignment 5: PDF - tex Template - due: Friday, March 7 at 7:00 PM
- Assignment 6: PDF - tex Template - due: Friday, March 14 at 7:00 PM
- Assignment 7: PDF - tex Template - due: Friday, April 4 at 7:00 PM