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math.QA2001
Exponential equations for the quantum "az+b" group
Malgorzata Rowicka-Kudlicka
We consider quantum group theory on the Hilbert space level. We find all solutions for scalar and general exponential equations for the quantum ``az+b'' group. It turns out that th…
math.QA2001
Unitary representations of the quantum "ax+b" group
Malgorzata Rowicka-Kudlicka
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 el…
math.QA2001
Braided quantum groups related to the quantum "ax+b" group
Malgorzata Rowicka-Kudlicka
We consider quantum group theory on the Hilbert space level. We find all unitary representations of three braided quantum groups related to the quantum ``ax+b'' group. First we int…