{"product_id":"9783642784026","title":"Quantum Groups and Their Primitive Ideals by Anthony Joseph","description":"by 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.\u003cbr\u003eBinding: Paperback \/ softback","brand":"Gardners","offers":[{"title":"Default Title","offer_id":56309736472949,"sku":"9783642784026","price":69.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9783642784026.jpg?v=1762813105","url":"https:\/\/backstory.london\/products\/9783642784026","provider":"Backstory","version":"1.0","type":"link"}