MATH 464

Introduction to Representation Theory

2009-2010 Spring Semester Syllabus

Week 1	Group Representations, FG-Modules
Week 2	FG-Submodules and Reducibility
Week 3	Group Algebras and FG-Homomorphisms
Week 4	Maschke’s Theorem
Week 5	Schur’s Lemma
Week 6	Irreducible Modules and The Group Algebra
Week 7	More on The Group Algebra, Conjugacy Classes
Week 8	Characters
Week 9	Inner Products of Characters
Week 10	The Number of Irreducible Characters
Week 11	Character Tables and Orthogonality Relations
Week 12	Normal Subgroups and Lifted Characters
Week 13	Tensor Products, Induced Modules and Characters
Week 14	Burnside’s Theorem