Representations and Characters of Groups by Martin Liebeck

Representations and Characters of Groups by Martin Liebeck

This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.

'… this reviewer regards the second printing of the book as a gem in studying representation theory of finite groups' R. W. van der Wall, Zentralblatt für Mathematik
'This is a beautiful well-balanced introduction to representations and characters of finite groups over the complex field, suitable for advanced undergraduate and beginning graduate students. The reviewer enjoyed the exposition tremendously and strongly recommends this already popular book both as a textbook and for self-study.' EMS
'For me, the attractive features are the short chapters (substantial but bite-sized), the motivational comments throughout the book and useful summaries at the end of each chapter, the wealth of detailed examples which break up and illuminate the theory, and full solutions to all the exercises.' The Mathematical Gazette
'The review found this to be a clearly and carefully written book, which he will recommend to all students seeking an introduction to group representation theory. the authors write in a down-to-earth style, provide a large number of examples throughout, and give very useful content summaries at the end of each chapter … In summary, the additions to the second edition only improve what was already an excellent text.' Proceedings of the Edinburgh Mathematical Society

Martin Liebeck is a professor and head of the Pure Mathematics Section in the Department of Mathematics at Imperial College London. He earned his B.A., M.Sc., and D.Phil. in mathematics from the University of Oxford. Dr. Liebeck has published over 100 research articles and seven books. His research interests encompass algebraic groups, finite simple groups, probabilistic group theory, permutation groups, and algebraic combinatorics.

SKU	Unavailable
ISBN 13	9780521003926
ISBN 10	052100392X
Title	Representations and Characters of Groups
Author	Martin Liebeck
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	2001-10-18
Number of pages	468
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable