$SU_q(3)$ corepresentations and bivariate $q$-Krawtchouk polynomials
Mathematical Physics
2019-05-22 v1 math.MP
Abstract
The matrix elements of unitary corepresentations, which are analogues of the symmetric powers of the natural repesentation, are shown to be the bivariate -Krawtchouk orthogonal polynomials, thus providing an algebraic interpretation of these polynomials in terms of quantum groups.
Cite
@article{arxiv.1811.02065,
title = {$SU_q(3)$ corepresentations and bivariate $q$-Krawtchouk polynomials},
author = {Geoffroy Bergeron and Erik Koelink and Luc Vinet},
journal= {arXiv preprint arXiv:1811.02065},
year = {2019}
}
Comments
14 pages