Representations of Finite and Compact Groups

Barry Simon9780821804537, 0-8218-0453-7

A textbook for an upper-level course, more elementary than most by assuming only a prior exposure to the notions of quotient group and the isomorphism theorems. Also approaches representation theory from the perspective of analysis rather than algebra or geometry, as is usually the case. Covers the representation of finite groups of rotations, permutations groups, and classical compact Lie groups.