The bispectral property of a<b><i>q</i></b>-deformation of the Schur polynomials and the<b><i>q</i></b>-KdV hierarchy

Abstract

We show that appropriate q-analogues of the Schur polynomials provide rational solutions of a q-deformation of the Nth KdV hierarchy. This allows us to construct explicit examples of bispectral commutative rings of q-difference operators.