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Item Details
| Title:
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CENTRAL SIMPLE ALGEBRAS AND GALOIS COHOMOLOGY
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| By: |
Philippe Gille, Tamas Szamuely |
| Format: |
Paperback |
| List price:
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£42.99 |
| Our price: |
£38.69 |
| Discount: |
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| You save:
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£4.30 |
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| ISBN 10: |
131660988X |
| ISBN 13: |
9781316609880 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
10 August, 2017 |
| Edition: |
2nd Revised edition |
| Series: |
Cambridge Studies in Advanced Mathematics 165 |
| Pages: |
418 |
| Description: |
The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results. |
| Synopsis: |
The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev-Suslin theorem, a culmination of work initiated by Brauer, Noether, Hasse and Albert, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, the text covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, and techniques in Milnor K-theory and K-cohomology, leading to a full proof of the Merkurjev-Suslin theorem and its application to the characterization of reduced norms. The final chapter rounds off the theory by presenting the results in positive characteristic, including the theorems of Bloch-Gabber-Kato and Izhboldin. This second edition has been carefully revised and updated, and contains important additional topics. |
| Illustrations: |
80 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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