Victor E Hill

Groups and Characters (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 239
• Erscheinungstermin: 12. Dezember 2018
• Englisch
• ISBN-13: 9781351443807
• Artikelnr.: 56941179

Autorenporträt

Victor E Hill

Inhaltsangabe

Preface
1 Introductory Examples
2 Groups and Subgroups
3 Point Groups and Cosets
4 Homomorphisms and Normal Subgroups
5 Isomorphisms and Automorphisms
6 Factor Groups
7 Sylow Subgroups
8 Permutation Groups
9 Matrix Groups
10 Group Representations
11 Regular Representations
12 Irreducible Representations
13 Representations of Abelian Groups
14 Group Characters
15 Orthogonality Relations and Character Tables
16 Reducible Characters
17 The Burnside Counting Theorem
18 Real Characters
19 Induced Characters
20 The Character Table for S5
21 Space Groups and Semidirect Products
22 Proofs of the Sylow Theorems
Bibliography
Index of Symbols
Index