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

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A 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.
LaTeX, 7 pages, no figure. In v2: Minor corrections; discussions and references added; line spacing reduced

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Quantum Algebra, High Energy Physics - Theory, Mathematical Physics, Representation Theory, Exactly Solvable and Integrable Systems, Quantum Physics, 17B37; 81R50

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http://salesiana.dossiersoluciones.com/handle/123456789/75594

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506539
 http://arxiv.org/abs/math/0506539

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arXiv