Group Theory: An Intuitive Approach

Front Cover
World Scientific, 1995 - Mathematics - 492 pages
A thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available.
 

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Contents

The Physical Principles of Group Theory
1
n Examples of Groups
29
Groups as Mathematical Objects
67
a1 Group Table for Cn
68
e2 Group Table for the Quaternion Group
75
i1 Group Table for a Nongroup
81
Groups Combinations Subsets
106
Representations
146
VfflThe Symmetric Group and its Representations
214
STATES OF THE ORTHOGONAL CATEGORY
233
Properties and Applications of Symmetric Groups
248
The Rotation Groups and their Relatives
269
Representations of Groups SO3 and SU2
304
Xn Applications of Representations of SO3 and O3
339
Xffl Lie Algebras
367
XTV Representations of Lie Algebras
402

The Group as a Representation of Itself
170
Vn Properties of Representations
180
A SU3 and States of Some of its Representations
427
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