A Course in Finite Group Representation Theory
eBook - PDF

A Course in Finite Group Representation Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Course in Finite Group Representation Theory

About this book

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access A Course in Finite Group Representation Theory by Peter Webb in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2016
Print ISBN
9781107162396
eBook ISBN
9781316786642
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. 1 Representations, Maschke's Theorem, and Semisimplicity
  9. 2 The Structure of Algebras for Which Every Module Is Semisimple
  10. 3 Characters
  11. 4 The Construction of Modules and Characters
  12. 5 More on Induction and Restriction: Theorems of Mackey and Clifford
  13. 6 Representations of p-Groups in Characteristic p and the Radical
  14. 7 Projective Modules for Finite-Dimensional Algebras
  15. 8 Projective Modules for Group Algebras
  16. 9 Changing the Ground Ring: Splitting Fields and the Decomposition Map
  17. 10 Brauer Characters
  18. 11 Indecomposable Modules
  19. 12 Blocks
  20. Appendix A: Discrete Valuation Rings
  21. Appendix B: Character Tables
  22. Bibliography
  23. Index