$S{U}_q(3)$ corepresentations and bivariate $q$-Krawtchouk polynomials

Geoffroy Bergeron, Erik Koelink, Luc Vinet

The matrix elements of unitary $S{U}_q(3)$ corepresentations, which are analogues of the symmetric powers of the natural repesentation, are shown to be the bivariate $q$-Krawtchouk o…