PMATH 745 - Groups and Representations

David McKinnon

Fall 2013

Linear Representations of Finite Groups by Jean-Pierre Serre

Definitions, Irreducibility, Schur's Lemma
Tensor Products
Characters, Orthogonality Relations, Class Functions, Character Tables
Sn and Young Tableaux
Abelian Groups, Products, Induced Representations
Modules, Complex Group Ring
Noetherian Rings, Integrality
Frobenius Reciprocity, Mackey's Irreducibility Criterion