Modern algebra: representation theory
Akshay Venkatesh, MWF 11-11:50pm.
There will be no class on Monday April 11 and Friday April 15. I will hold make-up classes later in the quarter. Professor Bump will teach the class
on Wednesday April 15, which will run 11--12:15.
Representation theory, assuming previous exposure to graduate-level algebra.
Topics to be covered: representation theory of finite groups and character theory; representations of unitary groups, symmetric groups and Schur/Weyl duality;
introduction to representations of compact Lie groups.
The CA is Sukhada Fadnavis, office hours W 1-3 F 2-4 in 380-L.
My office hours will be F 4-5 and W 3-4 in 383-E.
References: Although there is no course text,
Serre's Linear representations of finite groups
is an excellent reference for a good part of the course.
There will be four or five homework assignments, at roughly two-week intervals.
homework 3 (now revised, some hints added).
homework 4 (due by end of exam period).
Week 1. (M) Definition of group representations, some examples. (W) Maschke's theorem. (F) NO CLASS.
Department of Mathematics Rm. 383-E
email: akshay at stanford math