{"product_id":"central-simple-algebras-and-galois-philippe-gille-9781316609880","title":"Central Simple Algebras and Galois Cohomology","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Philippe Gille, Tam疽 Szamuely\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 131660988X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781316609880\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/10\/2017\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 430\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.28lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.15h x 6.50w x 1.00d","brand":"Philippe Gille","offers":[{"title":"Paperback","offer_id":43980242616575,"sku":"9781316609880","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_752d69ea-764c-4596-9328-d42ee1384321.jpg?v=1683248782","url":"https:\/\/www.whiterainbookhouse.com\/products\/central-simple-algebras-and-galois-philippe-gille-9781316609880","provider":"WR Book House","version":"1.0","type":"link"}