A Course in Finite Group Representation Theory (Hardcover) (ISBN-13: 9781107162396)

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.

Author: Peter Webb
ISBN-10: 1107162394
ISBN-13: 9781107162396
Publisher: Cambridge University Press
Language: English
Published: 08/19/2016
Pages: 336
Format: Hardcover
Weight: 1.42lbs
Size: 9.41h x 6.08w x 0.95d