Limit properties of quantum twists at q->1, from semi-classical twists to noncommutative geometry

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dc.creatorSamsonov, Maxim
dc.date2003-09-19
dc.date2005-05-02
dc.date.accessioned2026-07-07T05:01:17Z
dc.date.available2026-07-07T05:01:17Z
dc.descriptionA problem of defining the quantum analogues for semi-classical twists in $U(\mathfrak{g})[[t]]$ is considered. First, we study specialization at $q=1$ of singular coboundary twists defined in $U_{q}(\mathfrak{g})[[t]]$ for $\mathfrak{g}$ being a nonexceptional Lie algebra, then we consider specialization of noncoboundary twists when $\mathfrak{g}=\mathfrak{sl}_{3}$ and obtain $q-$deformation of the semi-classical twist introduced by Connes and Moscovici in noncommutative geometry.
dc.identifierhttps://arxiv.org/abs/math/0309311
dc.identifierhttp://arxiv.org/abs/math/0309311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68616
dc.subjectQuantum Algebra
dc.subject17B37
dc.titleLimit properties of quantum twists at q->1, from semi-classical twists to noncommutative geometry
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