CBMS Regional Conference Series in Mathematics
Volume: 94;
1999;
120 pp;
Softcover
MSC: Primary 12; 16; 13;
Secondary 14
Print ISBN: 978-0-8218-0979-2
Product Code: CBMS/94
List Price: $27.00
Individual Price: $21.60
Electronic ISBN: 978-1-4704-2454-1
Product Code: CBMS/94.E
List Price: $27.00
Individual Price: $21.60
Lectures on Division Algebras
Share this pageDavid J. Saltman
A co-publication of the AMS and CBMS
This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this “classical” material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.
Readership
Graduate students and research mathematicians working in algebra, especially in theory of fields.
Reviews & Endorsements
A useful survey of the present state of the subject, going well beyond most other texts in this field.
-- Zentralblatt MATH
Table of Contents
Table of Contents
Lectures on Division Algebras
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- Chapter 0. Introduction 110 free
- Chapter 1. A division algebra is a central simple algebra 514 free
- Chapter 2. Azumaya algebras at the generic point 1120
- Chapter 3. The Brauer group 2029
- Chapter 4. Form of matrices 2736
- Chapter 5. Torsion question 3241
- Chapter 6. Galois extensions 3746
- Chapter 7. Crossed products and cohomology 4453
- Chapter 8. Corestriction 5564
- Chapter 9. Orders and regular domains 6170
- Chapter 10. Ramification 6776
- Chapter 11. Specialization and lifting 7382
- Chapter 12. Lattice methods 7988
- Chapter 13. Brauer Severi varieties 8998
- Chapter 14. Generic division algebra 102111
- Bibliography 117126
- Back Cover Back Cover1130