Central Simple Algebras and Galois Cohomology

Name: Central Simple Algebras and Galois Cohomology
Availability: OutOfStock
ISBN: 9780521861038

ISBN-10: 0521861039

ISBN-13: 9780521861038

Edition: 2006

Authors: Philippe Gille, Tamï¿½s Szamuely, B. Bollobas, W. Fulton, A. Katok

List price: $109.99

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Description:

This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the 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, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, residue maps and, finally, Milnor K-theory and K-cohomology. The last…

Book details

List price: $109.99
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 8/10/2006
Binding: Hardcover
Pages: 356
Size: 6.25" wide x 9.25" long x 0.75" tall
Weight: 1.496
Language: English




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


References


Index