The Structure of Compact Groups
A Primer for the Student â A Handbook for the Expert
- 1,034 pages
- English
- PDF
- Available on iOS & Android
The Structure of Compact Groups
A Primer for the Student â A Handbook for the Expert
About This Book
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.
The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.
While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community.
Please submit any book proposals to Niels Jacob.
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Table of contents
- 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