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Introduction to Group Characters - Walter Ledermann

Introduction to Group Characters

Paperback Published: 28th September 1987
ISBN: 9780521337816
Number Of Pages: 240

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To an algebraist the theory of group characters presents one of those fascinating situations, where the structure of an abstract system is elucidated by a unique set of numbers inherent in the system. But the subject also has a practical aspect, since group characters have gained importance in several branches of science, in which considerations of symmetry play a decisive part. This is an introductory text, suitable for final-year undergraduates or postgraduate students. The only prerequisites are a standard knowledge of linear algebra and a modest acquaintance with group theory. Especial care has been taken to explain how group characters are computed. The character tables of most of the familiar accessible groups are either constructed in the text or included amongst the exercise, all of which are supplied with solutions. The chapter on permutation groups contains a detailed account of the characters of the symmetric group based on the generating function of Frobenius and on the Schur functions. The exposition has been made self-sufficient by the inclusion of auxiliary material on skew-symmetric polynomials, determinants and symmetric functions.

Taken from the hardback review: 'The author introduces group representations with a commendable balance between the abstract approach emphasising modules and the concrete approach emphasising matrices ...An excellent text!' Mathematical Reviews Taken from the hardback review: '... this little volume contains a clear and, at points, brilliant description of the fundamentals of the theory of group characters' Scientia

Preface to the second edition
Preface
Group representations
Elementary properties of group characters
Induced characters
Permutation groups
Group-theoretical applications
Arithmetic properties of group characters
Real representations
Appendix
List of character tables
Solutions
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521337816
ISBN-10: 052133781X
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 240
Published: 28th September 1987
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.5  x 1.4
Weight (kg): 0.36
Edition Number: 2
Edition Type: Revised

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