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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: https://doi.org/10.1090/cbms/094
MathSciNet review: MR1692654
MSC: Primary 16K20; Secondary 12G05, 16H05, 16S35

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Table of Contents

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Front/Back Matter

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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