Course Description and Grading BreakdownThe course will focus on representation theory of finite groups. We will talk, roughly, about some of the following things: a) Representations over an algebraically closed field of characteristic zero. Here, topics include basic theory, characters, induction, Brauer's induction theorem, representations of SL_2(F_q) and S_n. b) Representations over a field of characteristic zero - up to understanding that if we add enough roots of unity, all representations become realizable, and some more elaboration in the case of the real field. c) Representations over a field of positive characteristic - up to understanding how many irreducible representations are there. The grading will be according to homework, which I will publish once in a week or two, and is due 7 days after publication. Each homework will be graded from 0 to 100, and the final numerical grade will be an average of all those. The final letter grade will be roughly according to the following conversion scale: A+ > 93 > A > 87 > A- > 83 > B+ > 78 > B > 74 > B- > 70 > C+ > 62 > C > 55 The sources for the course will be mainly: 1) "Linear representations of finite groups" by Serre. 2) lecture notes by Etingof. 3) lecture notes by Joseph Bernstein (taken by Adam Gal). 4) Possibly my lecture notes that I will upload. Course Meeting Time and LocationLectures Tuesday and Thursday 1:00 - 2:25 pm 104 Math Building (Building 15) Course Instructor Contact Information and Office Hours223 Math Building (Building 15) Office hours: Tuesday, 5:00 - 5:55 pm. Course Schedule
Course PoliciesLate work - The student must ask for permission to hand in the work later than the deadline. Assignments
Collaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |