A course in finite group representation theory /
Webb, Peter, 1954-
A course in finite group representation theory / Peter Webb, University of Minnesota. - Cambridge : Cambridge University Press, 2016. - 1 online resource (xi, 325 pages) : digital, PDF file(s). - Cambridge studies in advanced mathematics ; 161 . - Cambridge studies in advanced mathematics ; 161. .
Title from publisher's bibliographic system (viewed on 08 Aug 2016).
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.
9781316677216 (ebook)
Finite groups--Textbooks.
Group theory--Textbooks.
Modules (Algebra)--Textbooks.
Representations of groups--Textbooks.
Rings (Algebra)--Textbooks.
QA177 / .W43 2016
512/.23
A course in finite group representation theory / Peter Webb, University of Minnesota. - Cambridge : Cambridge University Press, 2016. - 1 online resource (xi, 325 pages) : digital, PDF file(s). - Cambridge studies in advanced mathematics ; 161 . - Cambridge studies in advanced mathematics ; 161. .
Title from publisher's bibliographic system (viewed on 08 Aug 2016).
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.
9781316677216 (ebook)
Finite groups--Textbooks.
Group theory--Textbooks.
Modules (Algebra)--Textbooks.
Representations of groups--Textbooks.
Rings (Algebra)--Textbooks.
QA177 / .W43 2016
512/.23