A Course in Finite Group Representation Theory (Cambridge Studies in Advanced Mathematics) - Hardcover

Webb, Peter

Hardcover

ISBN 10: 1107162394 ISBN 13: 9781107162396

Publisher: Cambridge University Press, 2016

Synopsis

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.

About this title

Book Description

This classroom-tested graduate text provides a thorough grounding in the representation theory of finite groups over fields and rings. 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, and block theory.

About the Author

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2016
• ISBN 10: 1107162394
• ISBN 13: 9781107162396
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 336