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.Read more
- Gives hands-on experience with representation theory
- Uses the computer algebra systems GAP, which is freely available for download
- Source code, errata and solutions to selected exercises are available online
Reviews & endorsements
"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....As it should be given what the authors have in mind, Representations of Groups: A Computational Approach is laden with examples and exercises, many of them supplied with hints. The book is well-written and anything but chatty and is based on the authors’ courses so that much of the material in the book has been field tested."
Michael Berg, MAA ReviewsSee more reviews
"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 interesting, sometimes even surprising, but clearly well thought out."
Robert A. Wilson, Bulletin of the London Mathematical Society
"... this is really a wonderful, nice, and significant book, which is so well written, and it is recommended to a wide range of mathematicians, including not only graduate students but also many mathematicians of greater experience."
Shigeo Koshittani, Mathematical Reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: August 2010
- format: Hardback
- isbn: 9780521768078
- length: 472 pages
- dimensions: 234 x 155 x 28 mm
- weight: 0.78kg
- contains: 10 b/w illus. 220 exercises
- availability: In stock
Table of Contents
Frequently used symbols
1. Representations and modules
3. Groups and subgroups
4. Modular representations
List of notation
Welcome to the resources site
Here you will find free-of-charge online materials to accompany this book. The range of materials we provide across our academic and higher education titles are an integral part of the book package whether you are a student, instructor, researcher or professional.
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
*This title has one or more locked files and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.
These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.
If you are having problems accessing these resources please email [email protected]
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]Register Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×