Representations of groups : a computational approach / Klaus Lux, Herbert Pahlings.

Format:

Book

Author/Creator:

Lux, Klaus, author.

Pahlings, H. (Herbert), author.

Series:

Cambridge studies in advanced mathematics ; 124.

Cambridge studies in advanced mathematics ; 124

Language:

English

Subjects (All):

Representations of groups--Data processing.

Representations of groups.

Physical Description:

1 online resource (x, 460 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2010.

Language Note:

English

Summary:

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.

Contents:

1. Representations and modules

2. Characters

3. Groups and subgroups

4. Modular representations

List of notation

Bibliography

Index.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-20919-6

1-282-65788-7

0-511-75091-9

0-511-74362-9

0-511-75017-X

0-511-74255-X

9786612657887

0-511-74943-0

0-511-74471-4

OCLC:

645937910