Chapter 10 Central Simple Algebras and an Expansion Theorem

Chapters in this book

1. Frontmatter I
2. Table of Contents VII
3. Introduction XI
4. Chapter 0 Historical Background 1
5. Part I Classical Compositions and Quadratic Forms
6. Chapter 1 Spaces of Similarities 13
7. Chapter 2 Amicable Similarities 39
8. Chapter 3 Clifford Algebras 52
9. Chapter 4 C-Modules and the Decomposition Theorem 73
10. Chapter 5 Small (s, t)-Families 90
11. Chapter 6 Involutions 108
12. Chapter 7 Unsplittable (σ, τ)-Modules 119
13. Chapter 8 The Space of All Compositions 135
14. Chapter 9 The Pfister Factor Conjecture 160
15. Chapter 10 Central Simple Algebras and an Expansion Theorem 176
16. Chapter 11 Hasse Principles 204
17. Part II Compositions of Size [r, s, n]
18. Introduction 227
19. Chapter 12 [r, s, n]-Formulas and Topology 231
20. Chapter 13 Integer Composition Formulas 268
21. Chapter 14 Compositions over General Fields 299
22. Chapter 15 Hopf Constructions and Hidden Formulas 329
23. Chapter 16 Related Topics 363
24. References 381
25. List of Symbols 407
26. Index 413