• Homework
• Policies

Math 473 Section 1

Winter 2019

112 TMCB
11:00-11:50 AM MWF

Instructor: Darrin Doud
Office: 322 TMCB
Office Hours: MWF 2:00-3:00 or by appointment

---

Course Description

A representation of a group G is a homomorphism from G into a group of a fixed type. In this course, we will study linear representations of finite groups, or in other words, homomorphisms from finite groups G into matrix groups (linear groups) with complex entries. These representations of a group are often easier to study than the group itself, and that they provide a good deal of information about the group. An important tool that we will use is the character of a representation, which is the composition of the representation with the trace map. This character is particularly easy to compute with, since it is just a map (not usually a homomorphism) from G to C. However, the character of a representation determines the representation, and hence contains all the information given by the representation. Thus the study of character theory helps us to study groups.

Course Documents

Syllabus