Central Simple Algebras and Galois Cohomology 2nd Edition

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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

SKU: 9781107156371 Categories: ,

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

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