Department of Mathematical Sciences
Instructor:  Markus Schmidmeier
Fall 2014

Representation Theory ---  Homework assignments

Unless specified otherwise, problems are from the textbook by Fulton and Harris, Representation Theory. A First Course.

Textbook
Sections

Problems
 

due
 

Section 1: Representations of finite groups, Text, see also Serre Problems 1, 3, 5 in James-Liebeck, ch3. Friday, September 5
Section 2.1: Characters Problems 2.1, 2.2, 2.3 in Serre's book Friday, September 19
Orthogonality Problems 1, 2, 5 in Chapter 14 in the book by James and Liebeck. You can find the chapter in our library: Go to FAU -> Libraries -> Course Reserves -> Instructor="Schmidmeier". Friday, October 3
Decomposition of characters Exercises 2.5, 2.6 and 3.3 in Serre's book (on the course reserve) Friday, October 17
Representations of the Symmetric Group Exercises 10.1, 10.4, 10.5, 10.6 in Steinberg's book (on the course reserve) Friday, November 1
Lie Algebras Exercises 1.5, 1.14, 7.5, 7.6 in the book by Erdmann and Wildon Friday, November 14
Lie Algebra Representations Problems 8.1, 8.2, 8.3, 8.7 in the book by Erdmann and Wildon Friday, November 24 (Monday)

Last modified:  by Markus Schmidmeier