A Course in Finite Group Representation Theory

Cambridge Studies in Advanced Mathematics #161

by Peter Webb

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.

Kindle Edition

Published September 1, 2016

About the author

Librarian Note: There is more than one author in the Goodreads database with this name.

Peter Webb is a lecturer in Canadian literature at McGill University. He has published journal and book articles on Sara Jeannette Duncan, Timothy Findley, and Tom Thomson, and is writing a book-length study of war fiction entitled Shattered Lines: War in the Canadian Novel. He is a co-applicant member of the Editing Modernism in Canada (EMiC) research group.