Representations of Groups
A Computational Approach
Published on 1. July 2010
Book
Hardback
472 pages
978-0-521-76807-8 (ISBN)
Description
The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page.
Reviews / Votes
'Representations of Groups: A Computational Approach, by Lux and Pahlings, is a well-constructed, dense, and, its introductory nature notwithstanding, pretty far-reaching text. Happily, it is also quite accessible.' MAA Reviews 'Where the authors' treatment differs most from others is in the prominence given to calculation of real examples ... I enjoyed reading this book, and recommend it as a good modern second course in representation theory. The choice of topics and their arrangement are interest [and] clearly well thought out.' Bulletin of the London Mathematical Society 'The book is well-written and many graduate students can benefit from the book to enhance their research work.' Zentralblatt MATH '... a wonderful, nice and significant book, which is so well written ... recommended to a wide range of mathematicians ...' Mathematical ReviewsMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 10 Line drawings, black and white
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 30 mm
Weight
829 gr
ISBN-13
978-0-521-76807-8 (9780521768078)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
06/2010
1st Edition
Cambridge University Press
€54.49
Available for download
Persons
Klaus Lux is Associate Professor in the Department of Mathematics at the University of Arizona, Tucson. Herbert Pahlings is Professor Emeritus at RWTH Aachen University in Germany.
Content
Preface; Frequently used symbols; 1. Representations and modules; 2. Characters; 3. Groups and subgroups; 4. Modular representations; List of notation; Bibliography; Index.