Introduction to Representation Theory of Finite Groups

Undergraduate / Graduate

This course is an introduction to the representation theory of finite and compact groups. The basic topics covered include irreducible representations, Schur's Lemma, character theory, induced representations and Frobenius Reciprocity. Additional topics may include special topics in, and applications of, representation theory, such as: Burnside's p^aq^b theorem, random walks on groups (applications of Fourier analysis on finite groups), representations of symmetric groups and Young tableaux, and representation theory of compact groups, concentrating on SU(2).