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1st Edition

Groups and Characters





ISBN 9781584880387
Published November 22, 1999 by Chapman and Hall/CRC
239 Pages

 
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Book Description

Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. This book offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, it emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The text includes sections that provide the mathematical basis for some of the applications of group theory. It also offers numerous exercises, some stressing computation of concrete examples, others stressing development of the theory.

Table of Contents

Introductory Examples
Groups and Subgroups
Point Groups and Cosets
Homomorphisms and Normal Subgroups
Isomorphisms and Automorphisms
Factor Groups
Sylow Subgroups
Permutation Groups
Matrix Groups
Group Representations
Regular Representations
Irreducible Representations
Representations of Abelian Groups
Group Characters
Orthogonality Relations and Character Tables
Reducible Characters
The Burnside Counting Theorem
Real Characters
Induced Representations and Characters
The Character Table for S5
Space Groups and Semi-Direct Products
Proofs of the Sylow Theorems
References
Bibliography
Index
Index of Symbols.

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Reviews

"…rigorous and appropriate…excellent starting point for anyone interested in the theory of groups, representations and characters. Upper division undergraduates through professionals."
-D. S. Larson, Gonzago University in CHOICE