Braided quantum groups related to the quantum "ax+b" group

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dc.creatorRowicka-Kudlicka, Malgorzata
dc.date2000-12-30
dc.date2001-01-02
dc.date.accessioned2026-07-07T04:39:27Z
dc.date.available2026-07-07T04:39:27Z
dc.descriptionWe 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 introduce an auxiliary braided quantum group, which is apparently not related to the quantum ``ax+b'' group, but easy to work with. We find all unitary representations of this quantum group. Then we use this result to find all unitary representations of another braided quantum group, whose C*-algebra is generated by two (out of three) generators generating (in the sense of Woronowicz) C*-algebra of the quantum ``ax+b''- group. We find all unitary representations of this other braided quantum group. This is the most difficult result needed to classify all unitary representations of the quantum ``ax+b'' group.
dc.description31 pages LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/math/0101003
dc.identifierhttp://arxiv.org/abs/math/0101003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60667
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject20G42; 47B25
dc.titleBraided quantum groups related to the quantum "ax+b" group
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