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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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter,
[2020]
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| Edition: | 4th edition. |
| Series: | De Gruyter studies in mathematics ;
25. |
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| Online Access: | EBSCOhost Перейти в каталог НБ ТГУ |
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