Screen LibraryCentral simple algebras and Galois cohomology /
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 poin...
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| Main Authors: | |
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| Group Author: | |
| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge : |
| Publication Dates: | 2017. |
| Literature type: | Book |
| Language: | English |
| Edition: | Second edition. |
| Series: |
Cambridge studies in advanced mathematics ;
165 |
| Subjects: | |
| Summary: |
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-t |
| Item Description: | First edition published 2006. |
| Carrier Form: | xi, 417 pages ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages 394-412) and index. |
| ISBN: |
9781316609880 131660988X 9781107156371 1107156378 |
| Index Number: | QA612 |
| CLC: | O189.22 |
| Call Number: | O189.22/G476/2nd ed. |
| Contents: | Quaternion algebras -- Central simple algebras and Galois descent -- Techniques from group cohomology -- The cohomological Brauer group -- Severi-Brauer varieties -- Residue maps -- Milnor K-theory -- The Merkurjev-Suslin theorem -- Symbols in positive characteristic -- Appendix: a breviary of algebraic geometry. |