Representations of Finite and Compact Groups
eBook - PDF

Representations of Finite and Compact Groups

  1. 280 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Representations of Finite and Compact Groups

About this book

Barry Simon is the author of many well-known books, including such classics as Methods of Mathematical Physics (with M. Reed) and Functional Integration and Quantum Physics. This book, based on courses given at Princeton, Caltech, ETH-Zurich, and other universities, is an introductory textbook on representation theory. Two facets distinguish the approach. First, the book is relatively elementary, and second, while the bulk of the books on the subject is written from the point of view of an algebraist or a geometer, this book is written with an analytical flavor. The exposition centers around the study of representation of certain concrete classes of groups, including permutation groups and compact semisimple Lie groups. It culminates in the complete proof of the Weyl character formula for representations of compact Lie groups and the Frobenius formula for characters of permutation groups. Extremely well tailored both for a one-year course in representation theory and for independent study, this book is an excellent introduction to the subject which is unique in having so much innate beauty so close to the surface.

Information

Publisher
American Mathematical Society
Year
1995
Topic
Mathematics
eBook ISBN
9781470411428
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Introduction
  6. CHAPTER I. Groups and Counting Principles
  7. CHAPTER II. Fundamentals of Group Representations
  8. CHAPTER III. Abstract Theory of Representations of Finite Groups
  9. CHAPTER IV. Representations of Concrete Finite Groups. I: Abelian and Clifford Groups
  10. CHAPTER V. Representations of Concrete Finite Groups. II: Semidirect Products and Induced Representations
  11. CHAPTER VI. Representations of Concrete Finite Groups. Ill: The Symmetric Groups
  12. CHAPTER VII. Compact Groups
  13. CHAPTER VIII. The Structure of Compact Semisimple Groups
  14. CHAPTER IX. The Representations of Compact Semisimple Groups
  15. Appendices
  16. Bibliography
  17. Index
  18. Back Cover

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Yes, you can access Representations of Finite and Compact Groups by Barry Simon in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over 1.5 million books available in our catalogue for you to explore.