Vertex-irf Transformations, Dynamical Quantum Groups and Harmonic Analysis
نویسنده
چکیده
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 SL(2;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” SL(2;C) quantum group with respect to twisted primitive elements, as initiated by Koornwinder, is the same as harmonic analysis on the SL(2;C) dynamical quantum group. Dedicated to Tom Koornwinder on the occasion of his 60th birthday
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تاریخ انتشار 2003