Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials

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dc.creatorGroza, Valentyna
dc.date2005-11-25
dc.date.accessioned2026-07-07T09:34:30Z
dc.date.available2026-07-07T09:34:30Z
dc.descriptionWe derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra su_q(1,1). Spectra and eigenfunctions of these operators are found explicitly. These eigenfunctions, when normalized, form an orthonormal basis in the representation space.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0511632
dc.identifierhttp://arxiv.org/abs/math/0511632
dc.identifierSIGMA 1 (2005), 016, 7 pages
dc.identifierdoi:10.3842/SIGMA.2005.016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159514
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleRepresentations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials
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