{"product_id":"finite-dimensional-division-algebras-over-fields-9783662308837","title":"Finite-Dimensional Division Algebras Over Fields","description":"\u003cp\u003e • Author(s): Nathan Jacobson\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Group Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eFinite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts;they arose first in the study of the so-called \"multiplication algebras of Riemann matrices\". The largest part of the book is the fifth chapter, dealing with involu= torial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution;their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm.\u003c\/p\u003e \u003cp\u003eCorrections of the 1\u003csup\u003est\u003c\/sup\u003e edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK).\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274454622359,"sku":"9783662308837","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783662308837.webp?v=1769279970","url":"https:\/\/atlanticbooks.com\/products\/finite-dimensional-division-algebras-over-fields-9783662308837","provider":"Atlantic Books","version":"1.0","type":"link"}