Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials
Quantum Algebra
2008-04-24 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We 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.
Keywords
Cite
@article{arxiv.math/0511632,
title = {Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials},
author = {Valentyna Groza},
journal= {arXiv preprint arXiv:math/0511632},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/