{"product_id":"9783642784026","title":"Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge \/ A Series of Modern Surveys in Mathematics","description":"\u003ch1\u003eErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge \/ A Series of Modern Surveys in Mathematics\u003c\/h1\u003e \u003ch2\u003eJoseph, Anthony\u003c\/h2\u003e \u003cp\u003eby a more general quadratic algebra (possibly obtained by deformation) and then to derive Rq [G] by requiring it to possess the latter as a comodule. A third principle is to focus attention on the tensor structure of the cat­ egory of (!; modules. This means of course just defining an algebra structure on Rq[G]; but this is to be done in a very specific manner. Concretely the category is required to be braided and this forces (9.4.2) the existence of an \"R-matrix\" satisfying in particular the quantum Yang-Baxter equation and from which the algebra structure of Rq[G] can be written down (9.4.5). Finally there was a search for a perfectly self-dual model for Rq[G] which would then be isomorphic to Uq(g). Apparently this failed; but V. G. Drinfeld found that it could be essentially made to work for the \"Borel part\" of Uq(g) denoted U (b) and further found a general construction (the Drinfeld double) q mirroring a Lie bialgebra. This gives Uq(g) up to passage to a quotient. One of the most remarkable aspects of the above superficially different ap­ proaches is their extraordinary intercoherence. In particular they essentially all lead for G semisimple to the same and hence \"canonical\", objects Rq[G] and Uq(g), though this epithet may as yet be premature.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-12-08\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642784026\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-78400-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 383\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44343407444108,"sku":"9783642784026","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642784026.jpg?v=1775709765","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642784026","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}