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The structure of compact groups A Primer for the Student - A Handbook for the Expert

This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups. A gentle introduction to compact groups and their representation theory is followed by self-contained courses on li...

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Bibliographic Details
Main Author: Hofmann, Karl H.
Other Authors: Morris, Sidney A.
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2023, ©2023
Edition:5th Edition
Series:De Gruyter studies in mathematics
Subjects:
Compact Groups
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Table of Contents:
  • Frontmatter
  • Preface to the Fourth Edition
  • Preface to the Second and Third Editions
  • Preface to the First Edition
  • The Logical Dependence of the Contents
  • Contents
  • Chapter 1. Basic Topics and Examples
  • Chapter 2. The Basic Representation Theory of Compact Groups
  • Chapter 3. The Ideas of Peter and Weyl
  • Chapter 4. Characters
  • Chapter 5. Linear Lie Groups
  • Chapter 6. Compact Lie Groups
  • Chapter 7. Duality of Abelian Topological Groups
  • Chapter 8. Compact Abelian Groups
  • Chapter 9. The Structure of Compact Groups
  • Chapter 10. Compact Group Actions
  • Chapter 11. The Structure of Free Compact Groups
  • Chapter 12. Cardinal Invariants of Compact Groups
  • Appendix 1. Abelian Groups
  • Appendix 2. Covering Spaces and Groups
  • Appendix 3. A Primer of Category Theory
  • Appendix 4. Selected Results on Topology and Topological Groups
  • Appendix 5. Measures on Compact Groups
  • Appendix 6. Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups
  • Appendix 7. Weakly Complete Vector Spaces and Algebras
  • References
  • Index of Symbols
  • Index

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