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Introduction to Quadratic Forms over Fields
About this Title
T.Y. Lam, University of California, Berkeley, CA
Publication: Graduate Studies in Mathematics
Publication Year:
2005; Volume 67
ISBNs: 978-0-8218-1095-8 (print); 978-1-4704-2108-3 (online)
DOI: https://doi.org/10.1090/gsm/067
MathSciNet review: MR2104929
MSC: Primary 11Exx
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Foundations
- Chapter 2. Introduction to Witt rings
- Chapter 3. Quaternion algebras and their norm forms
- Chapter 4. The Brauer-Wall group
- Chapter 5. Clifford algebras
- Chapter 6. Local fields and global fields
- Chapter 7. Quadratic forms under algebraic extensions
- Chapter 8. Formally real fields, real-closed fields, and Pythagorean fields
- Chapter 9. Quadratic forms under transcendental extensions
- Chapter 10. Pfister forms and function fields
- Chapter 11. Field invariants
- Chapter 12. Special topics in quadratic forms
- Chapter 13. Special topics on invariants