| Softcover ISBN: | 978-0-8218-0979-2 |
| Product Code: | CBMS/94 |
| List Price: | $31.00 |
| Individual Price: | $24.80 |
| eBook ISBN: | 978-1-4704-2454-1 |
| Product Code: | CBMS/94.E |
| List Price: | $29.00 |
| Individual Price: | $23.20 |
| Softcover ISBN: | 978-0-8218-0979-2 |
| eBook: ISBN: | 978-1-4704-2454-1 |
| Product Code: | CBMS/94.B |
| List Price: | $60.00 $45.50 |
| Softcover ISBN: | 978-0-8218-0979-2 |
| Product Code: | CBMS/94 |
| List Price: | $31.00 |
| Individual Price: | $24.80 |
| eBook ISBN: | 978-1-4704-2454-1 |
| Product Code: | CBMS/94.E |
| List Price: | $29.00 |
| Individual Price: | $23.20 |
| Softcover ISBN: | 978-0-8218-0979-2 |
| eBook ISBN: | 978-1-4704-2454-1 |
| Product Code: | CBMS/94.B |
| List Price: | $60.00 $45.50 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 94; 1999; 120 ppMSC: Primary 12; 16; 13; Secondary 14
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.
ReadershipGraduate students and research mathematicians working in algebra, especially in theory of fields.
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Table of Contents
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Chapters
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Chapter 0. Introduction
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Chapter 1. A division algebra is a central simple algebra
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Chapter 2. Azumaya algebras at the generic point
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Chapter 3. The Brauer group
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Chapter 4. Form of matrices
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Chapter 5. Torsion question
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Chapter 6. Galois extensions
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Chapter 7. Crossed products and cohomology
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Chapter 8. Corestriction
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Chapter 9. Orders and regular domains
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Chapter 10. Ramification
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Chapter 11. Specialization and lifting
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Chapter 12. Lattice methods
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Chapter 13. Brauer Severi varieties
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Chapter 14. Generic division algebra
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Additional Material
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Reviews
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A useful survey of the present state of the subject, going well beyond most other texts in this field.
Zentralblatt MATH
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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.
Graduate students and research mathematicians working in algebra, especially in theory of fields.
-
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
-
A useful survey of the present state of the subject, going well beyond most other texts in this field.
Zentralblatt MATH
