{"product_id":"central-simple-algebras-and-galois-philippe-gille-9781107156371","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 1107156378\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781107156371\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 Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.63lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.94d","brand":"Philippe Gille","offers":[{"title":"Hardcover","offer_id":43924047429887,"sku":"9781107156371","price":98.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_348af06b-98ae-470b-b659-b88723f96f90.jpg?v=1681068166","url":"https:\/\/www.whiterainbookhouse.com\/products\/central-simple-algebras-and-galois-philippe-gille-9781107156371","provider":"WR Book House","version":"1.0","type":"link"}