2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115519Quantum super 2-shpheres and the corresponding quantum super transformation group are introduced in analogy to the well-known quantum 2-shpheres and quantum SL(2), connection between little $t$-Jacobi polynomials and the finite dimensional representations of the quantum super group is formulated, and the Peter-Weyl theorem is obtained.AMS-Tex, preprint 18 pagesQuantum AlgebraRepresentation Theory17B35; 17B60Quantum super spheres and their transformation groups, representations, and little $t$-Jacobi polynomialstext