This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the non-compact Lie group SL2(P).
Reviews
"The author took care to always keep close to his main topic, which is the representations, and to give the reader an impression of a variety of results without loading the book with extensive theory ... The booklet can be recommended as a short introduction to what representation theory is about."Mathematical Reviews"This is a straight, very readable introduction to representation theory of finite groups in characteristic 0 case ... this nice booklet can be recommended warmly to anyone who wants to become familiar quickly with group representations."Monatshefte fur Mathematik



Book Information
ISBN 9781860944826
Author Charles B Thomas
Format Hardback
Page Count 156
Imprint Imperial College Press
Publisher Imperial College Press