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Vertex-IRF transformations, dynamical quantum groups and harmonic analysis | | Jasper V. Stokman
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23 May 2003 | | Subject: | Quantum Algebra; Mathematical Physics | math.QA math-ph math.MP | | Abstract: | It 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. | | Source: | arXiv, math.QA/0305324 | | Services: | Forum | Review | PDF | Favorites | |
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