Vertex-IRF transformations, dynamical quantum groups and harmonic analysis

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dc.creatorStokman, Jasper V.
dc.date2003-05-23
dc.date.accessioned2026-07-07T04:58:12Z
dc.date.available2026-07-07T04:58:12Z
dc.descriptionIt is shown that a dynamical quantum group arising from a vertex-IRF transformation has a second realization with untwisted dynamical multiplication but nontrivial bigrading. Applied to the $\hbox{SL}(2;\mathbb{C})$ dynamical quantum group, the second realization is naturally described in terms of Koornwinder's twisted primitive elements. This leads to an intrinsic explanation why harmonic analysis on the ``classical'' $\hbox{SL}(2;\mathbb{C})$ quantum group with respect to twisted primitive elements, as initiated by Koornwinder, is the same as harmonic analysis on the $\hbox{SL}(2;\mathbb{C})$ dynamical quantum group.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0305324
dc.identifierhttp://arxiv.org/abs/math/0305324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67540
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleVertex-IRF transformations, dynamical quantum groups and harmonic analysis
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