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Central simple algebras and Galois c...

Gille, Philippe, (1968-)

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Central simple algebras and Galois cohomology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Central simple algebras and Galois cohomology/ Philippe Gille, Tamas Szamuely.
Author:	Gille, Philippe,
other author:	Szamuely, Tamas.
Published:	Cambridge :Cambridge University Press, : 2017.,
Description:	xi, 417 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 28 Aug 2017).
Subject:	Galois cohomology. -
Online resource:	https://doi.org/10.1017/9781316661277
ISBN:	9781316661277

Central simple algebras and Galois cohomology
Gille, Philippe,1968-

Central simple algebras and Galois cohomology[electronic resource] /Philippe Gille, Tamas Szamuely. - Second edition. - Cambridge :Cambridge University Press,2017. - xi, 417 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;165. - Cambridge studies in advanced mathematics ;165..

Title from publisher's bibliographic system (viewed on 28 Aug 2017).

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.

ISBN: 9781316661277Subjects--Topical Terms:

888612
Galois cohomology.

LC Class. No.: QA612.3 / .G55 2017

Dewey Class. No.: 512.32

Central simple algebras and Galois cohomology
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020 $a 9781316661277 $q (electronic bk.)
020 $a 9781107156371 $q (hardback)
020 $a 9781316609880 $q (paperback)
035 $a CR9781316661277
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050 4 $a QA612.3 $b .G55 2017
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100 1 $a Gille, Philippe, $d 1968- $3 888826
245 1 0 $a Central simple algebras and Galois cohomology $h [electronic resource] / $c Philippe Gille, Tamas Szamuely.
250 $a Second edition.
260 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a xi, 417 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 165
500 $a Title from publisher's bibliographic system (viewed on 28 Aug 2017).
520 $a 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.
650 0 $a Galois cohomology. $3 888612
650 0 $a Algebra. $3 516203
650 0 $a Associative algebras. $3 540541
650 0 $a Algebra, Homological. $3 663850
700 1 $a Szamuely, Tamas. $3 745292
830 0 $a Cambridge studies in advanced mathematics ; $v 165. $3 3470605
856 4 0 $u https://doi.org/10.1017/9781316661277