Unitary representations of the quantum "ax+b" group

Details Unitary representations of the quantum "ax+b" group Unitary representations of the quantum "ax+b" group

2001-02-19

arxiv.org/abs/math/0102151v2

Mathematics

Quantum Algebra

14 pages, LaTeX

Scientific paper

We find all unitary representations of the quantum "ax+b" group. It turns out
that this quantum group is selfdual in the sense that all unitary
representations are 'numbered' by elements of the same group. Moreover, we
discover the formula for all unitary representations involving S.L.
Woronowicz's quantum exponential function.

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