Abstract
These notes consist of two parts. In the first part we give an introduction to the classification of convolution semi-groups of states on *-bialgebras by infinitesimal generators. We apply the general method to the well-known case of a compact Lie group and recover Hunt's formula for the infinitesimal generators.
In the second part we bring our results for the quantum group SUq(2) obtained in [11] into a form analogous to Hunt's formula. We find subalgebras of the C*- completion of SUq(2) analogous to the functions on a Lie group being once and twice differentiable at the neutral element.
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Skeide, M. Hunt's Formula for SUq(2) -- a Unified View. Open Systems & Information Dynamics 6, 1–28 (1999). https://doi.org/10.1023/A:1009644904638
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DOI: https://doi.org/10.1023/A:1009644904638