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Representations of Groups
A Computational Approach

$67.99 (C)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: August 2010
  • availability: Available
  • format: Hardback
  • isbn: 9780521768078

$ 67.99 (C)

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About the Authors
  • 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 and readers can download source code and solutions to selected exercises from the book's web page.

    • 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
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    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 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

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    Product details

    • 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: Available
  • Table of Contents

    Frequently used symbols
    1. Representations and modules
    2. Characters
    3. Groups and subgroups
    4. Modular representations
    List of notation

  • Resources for

    Representations of Groups

    Klaus Lux, Herbert Pahlings

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  • Authors

    Klaus Lux, University of Arizona
    Klaus Lux is Associate Professor in the Department of Mathematics at the University of Arizona, Tucson.

    Herbert Pahlings, RWTH Aachen University
    Herbert Pahlings is Professor Emeritus at RWTH Aachen University in Germany.

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