Quantum "az+b" group at roots of unity: unitary representations

Details Quantum "az+b" group at roots of unity: unitary representations Quantum "az+b" group at roots of unity: unitary representations

2001-08-02

arxiv.org/abs/math/0108020v1

Mathematics

Quantum Algebra

LaTeX, 13 pages, no figures

Scientific paper

All unitary representations of the quantum ``az+b'' group are found. It turns
out that this quantum group is self dual i.e. all unitary representations are
'numbered' by elements of the same group. Moreover, the formula for all unitary
representations involving the quantum exponential function is proven.

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