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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Quantum Groups and Their Primitive Ideals

Af: Anthony Joseph Engelsk Paperback

Quantum Groups and Their Primitive Ideals

Af: Anthony Joseph Engelsk Paperback
Tjek vores konkurrenters priser
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.
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Tjek vores konkurrenters priser
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.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 383
ISBN-13: 9783642784026
Indbinding: Paperback
Udgave:
ISBN-10: 364278402X
Kategori: Algebraisk geometri
Udg. Dato: 8 dec 2011
Længde: 25mm
Bredde: 234mm
Højde: 155mm
Forlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Oplagsdato: 8 dec 2011
Forfatter(e): Anthony Joseph
Forfatter(e) Anthony Joseph

Kategori Algebraisk geometri

ISBN-13 9783642784026

Sprog Engelsk

Indbinding Paperback

Sider 383

Udgave

Længde 25mm

Bredde 234mm

Højde 155mm

Udg. Dato 8 dec 2011

Oplagsdato 8 dec 2011

Forlag Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Kategori sammenhænge