EXCITED-STATES OF THE CALOGERO-SUTHERLAND MODEL AND SINGULAR VECTORS OF THE W-N ALGEBRA

Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calog ero-Sutherland model, and the singular vectors of the W-N algebra. Bas ed on this relation, we obtain their integral representations. We also give a direct algebraic method which leads to the same result, and in tegral representations of the skew-Jack polynomials.