Invariants and orthogonal $q$-polynomials associated with ${\mathbb{C}}_q(osp(1,2))$

Abstract

The spaces of invariants and the zonal spherical functions associated with quantum super 2-shpheres defined by ${\mathbb{C}}_q(osp(1,2))$ are discussed. Connection between the zonal spherical functions and orthogonal $q$-polynomials from the Askey-Wilson scheme is investigated.

AMS-Tex, preprint 18 pages