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portada Central Simple Algebras and Galois Cohomology (Cambridge Studies in Advanced Mathematics)
Type
Physical Book
Author
Publisher
Year
2017
Language
English
Pages
430
Format
Hardcover
Dimensions
22.9x15.2x2.4 cm
Weight
0.74 kg.
ISBN13
9781107156371
Edition No.
0002
Categories

Central Simple Algebras and Galois Cohomology (Cambridge Studies in Advanced Mathematics)

Tamás Szamuely (Author) · Philippe Gille (Author) · Cambridge University Press · Hardcover

Central Simple Algebras and Galois Cohomology (Cambridge Studies in Advanced Mathematics) - Gille, Philippe ; Szamuely, Tamás

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Synopsis "Central Simple Algebras and Galois Cohomology (Cambridge Studies in Advanced Mathematics) "

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.

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