Lectures on Division Algebras
About this Title
David J. Saltman, University of Texas, Austin, TX
Publication: CBMS Regional Conference Series in Mathematics
Publication Year
1999: Volume 94
ISBNs: 978-0-8218-0979-2 (print); 978-1-4704-2454-1 (online)
DOI: http://dx.doi.org/10.1090/cbms/094
MathSciNet review: MR1692654
MSC: Primary 16K20; Secondary 12G05, 16H05, 16S35
Table of Contents
Front/Back Matter
Chapters
- Chapter 0. Introduction
- Chapter 1. A division algebra is a central simple algebra
- Chapter 2. Azumaya algebras at the generic point
- Chapter 3. The Brauer group
- Chapter 4. Form of matrices
- Chapter 5. Torsion question
- Chapter 6. Galois extensions
- Chapter 7. Crossed products and cohomology
- Chapter 8. Corestriction
- Chapter 9. Orders and regular domains
- Chapter 10. Ramification
- Chapter 11. Specialization and lifting
- Chapter 12. Lattice methods
- Chapter 13. Brauer Severi varieties
- Chapter 14. Generic division algebra