The Structure of Compact Groups : : A Primer for the Student – A Handbook for the Expert / / Karl H. Hofmann, Sidney A. Morris.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• VerfasserIn: Hofmann, Karl H.,; Morris, Sidney A.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: De Gruyter Studies in Mathematics , 25
• Physical Description: 1 online resource (XLI, 1032 p.)

The subject matter of compact groups is frequently cited in fi elds like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a text for upper level graduate students, and of being a source book for researchers who need the structure and rep...

Table of Contents

• Frontmatter
• Preface to the Fifth Edition
• Highlights of the Structure Theory of Compact Groups
• Preface to the Fourth Edition
• Preface to the Second and Third Editions
• Preface to the First Edition
• Contents
• Chapter 1. Basic Topics and Examples
• Chapter 2. The Basic Representation Theory of Compact Groups
• Chapter 3. The Ideas of Peter & Weyl, Tannaka, Hopf, & Hochschild
• 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
• De Gruyter Studies in Mathematics