{"product_id":"central-simple-algebras-and-galois-cohomology-9781316609880","title":"Central Simple Algebras and Galois Cohomology","description":"\u003cp\u003e • Author(s): Philippe Gille | Tamás Szamuely\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Topology - General\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":46433106264215,"sku":"9781316609880","price":3635.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781316609880.webp?v=1769307133","url":"https:\/\/atlanticbooks.com\/products\/central-simple-algebras-and-galois-cohomology-9781316609880","provider":"Atlantic Books","version":"1.0","type":"link"}