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A Course in Finite Group Representation Theory
Contributor(s): Webb, Peter (Author)
ISBN: 1107162394     ISBN-13: 9781107162396
Publisher: Cambridge University Press
OUR PRICE:   $81.69  
Product Type: Hardcover - Other Formats
Published: August 2016
Qty:
Additional Information
BISAC Categories:
- Mathematics | Algebra - General
- Mathematics | Group Theory
Dewey: 512.23
LCCN: 2016013913
Series: Cambridge Studies in Advanced Mathematics (Hardcover)
Physical Information: 0.95" H x 6.08" W x 9.41" (1.42 lbs) 336 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Contributor Bio(s): Webb, Peter: - Peter Webb is Professor of Mathematics at the University of Minnesota. His research interests focus on the interactions between group theory and other areas of algebra, combinatorics, and topology. In 1988, he was awarded a Whitehead Prize of the London Mathematical Society.