Quantum Groups and Their Primitive Ideals is popular PDF and ePub book, written by Anthony Joseph in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Quantum Groups and Their Primitive Ideals can be Read Online from any device for your convenience.
Quantum Groups and Their Primitive Ideals Book PDF Summary
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.
Detail Book of Quantum Groups and Their Primitive Ideals PDF
- Author : Anthony Joseph
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642784002
- Genre : Mathematics
- Total Page : 394 pages
- Language : English
- PDF File Size : 12,7 Mb
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