A two-parametric deformation of U[sl(2)], its representations and complex "spin"

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dc.creatorKy, Nguyen Anh
dc.creatorVan, Nguyen Thi Hong
dc.date2005-06-27
dc.date2005-07-15
dc.date.accessioned2026-07-07T05:21:10Z
dc.date.available2026-07-07T05:21:10Z
dc.descriptionA two-parametric deformation of U[sl(2)] and its representations are considered. This newly introduced two-parametric quantum group denoted as $U_{pq}[sl(2)]$ admits a class of infinite-dimensional representations which have no classical (non-deformed) and one-parametric deformation analogues, even at generic deformation parameters. Interestingly that finite-dimensional representations of $U_{pq}[sl(2)]$ allow arbitrary complex "spins" (i.e., not necessary they to be integral or half-integral numbers), unlike those in the classical and one-parametric deformation cases.
dc.descriptionLaTeX, 7 pages, no figure. In v2: Minor corrections; discussions and references added; line spacing reduced
dc.identifierhttps://arxiv.org/abs/math/0506539
dc.identifierhttp://arxiv.org/abs/math/0506539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75594
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.subject17B37; 81R50
dc.titleA two-parametric deformation of U[sl(2)], its representations and complex "spin"
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