Coupling coefficients for tensor product representations of quantum $\mathrm{SU}(2)$
Quantum Algebra
2018-02-07 v1
Abstract
We study tensor products of infinite dimensional representations (not corepresentations) of the quantum group. Eigenvectors of certain self-adjoint elements are obtained, and coupling coefficients between different eigenvectors are computed. The coupling coefficients can be considered as -analogs of Bessel functions. As a results we obtain several -integral identities involving -hypergeometric orthogonal polynomials and -Bessel-type functions.
Cite
@article{arxiv.1405.5782,
title = {Coupling coefficients for tensor product representations of quantum $\mathrm{SU}(2)$},
author = {Wolter Groenevelt},
journal= {arXiv preprint arXiv:1405.5782},
year = {2018}
}
Comments
31 pages. Parts of the paper are from my unpublished notes "Tensor products for quantum SU(2)" from 2004