Vertex-IRF transformations, dynamical quantum groups and harmonic analysis
arXiv:math/0305324
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 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'' quantum group with respect to twisted primitive elements, as initiated by Koornwinder, is the same as harmonic analysis on the dynamical quantum group.
24 pages