Contents

Chapters in this book

1. Frontmatter i
2. Contents xiii
3. Chapter 1 Basic Topics and Examples 1
4. Chapter 2 The Basic Representation Theory of Compact Groups 31
5. Chapter 3 The Ideas of Peter and Weyl 52
6. Chapter 4 Characters 91
7. Chapter 5 Linear Lie Groups 111
8. Chapter 6 Compact Lie Groups 187
9. Chapter 7 Duality for Abelian Topological Groups 296
10. Chapter 8 Compact Abelian Groups 369
11. Chapter 9 The Structure of Compact Groups 447
12. Chapter 10 Compact Group Actions 534
13. Chapter 11 The Structure of Free Compact Groups 577
14. Chapter 12 Cardinal Invariants of Compact Groups 615
15. Backmatter 635