REPRESENTATION OF THE YANGIAN INVARIANT MOTIF AND THE MACDONALD POLYNOMIAL

The representation of the Yangian invariant 'motif' is considered. The relationship with the Rogers-Szego polynomial is studied, whose one-p arameter deformation is the Macdonald polynomial. We propose the defor mation of the motifs which provides a new realization of the Macdonald polynomials for the one-row Young diagrams.