Syllabus

Week

Topic(s)

1

Group Representations

2

 FG-modules

3

 Group algebras and FG-homomorphisms

4

 Maschke's theorem and Schur's Lemma

5

 Irreducible modules and the group algebras

6

Conjugacy classes

7

Characters

8

The regular and permutation characters

9

Inner Products of characters

10

Decomposing FG-modules

11

 The number of irreducible characters

12

 Character tables

13

Some elementary character tables

14

Characters and simple groups