Vertex-IRF transformations, dynamical quantum groups and harmonic analysis

Jasper V. Stokman

Vertex-IRF transformations, dynamical quantum groups and harmonic analysis

量子代数 2007-05-23 v1 数学物理 math.MP

作者: Jasper V. Stokman

摘要

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.

关键词

wreath product of groups quantum groups twisted k-theory

引用

@article{arxiv.math/0305324,
  title  = {Vertex-IRF transformations, dynamical quantum groups and harmonic analysis},
  author = {Jasper V. Stokman},
  journal= {arXiv preprint arXiv:math/0305324},
  year   = {2007}
}

备注

24 pages

Vertex-IRF transformations, dynamical quantum groups and harmonic analysis

摘要

关键词

引用

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