Central Simple Algebras and Galois Cohomology, 2nd Edition Gille, Philippe, Szamuely, Tamás

Series: Cambridge Studies in Advanced Mathematics, 165The 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.

Categories:

Mathematics – Algebra

Year:

2017

Edition:

2

Publisher:

Cambridge University Press

Language:

english

Pages:

430

ISBN 10:

131666127X

ISBN 13:

9781107156371

File:

63 MB

# Central Simple Algebras and Galois Cohomology 2nd Edition

$9.99

Central Simple Algebras and Galois Cohomology 2nd Edition

Authors: Gille

Year: 2017

Publisher: Cambridge University Press

Language: english

ISBN 13: 9781107156371

ISBN 10: 131666127X

Categorie: Mathematics, Algebra

Pages: 430

Edition: 2

Availability: 5000 in stock

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