The course will usually take place on Mondays at 13:45
in Room 1 of the Ziskind Building in the Spring semester 2013. We will start on Oct 21, and have ~14 meetings.
The only absolute prerequisite is good knowledge of linear algebra. Other
topics that can help are: representation theory of finite groups, basic functional analyses, basic topology
and differential topology, Lie algebras. Each of these topics will be briefly reviewed if majority of the
audience knows it, or taught slower otherwise.
I will be giving exercises on almost every meeting. Usually I will post an exercise before a lecture, and then possibly apply slight changes (for example, I might think of an additional good problem during the lecture, or I might delete a problem if we did not cover enough materials). I will not force you to submit the exercises, but I encourage you to do so. Good grades for exercises can approve the final grade. We will have a take-home exam at the end of the course.
The first exercise will be posted after the lecture
Syllabus
Summary of the first part of the course
Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6
Exercise 7
1. J.P. Serre: Linear representations of finite groups
2. Barry Simon: Representations of finite and compact groups
3. A.A. Kirillov: Elements of representation theory
3. S. Lang: Algebra