2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61954The Matsuo-Cherednik correspondence is an isomorphism from solutions of Knizhnik-Zamolodchikov equations to eigenfunctions of generalized Calogero-Moser systems associated to Coxeter groups G and a multiplicity function m on their root systems. We apply this correspondence to the most degenerate case of zero spectral parameters. The space of eigenfunctions is then the space H_m of m-harmonic polynomials, recently introduced in math-ph/0105014. We compute the Poincare' polynomials for the space H_m and of its isotypical components corresponding to each irreducible representation of the group G. We also give an explicit formula for m-harmonic polynomials of lowest positive degree in the S_n case.22 pagesQuantum AlgebraCommutative AlgebraAlgebraic GeometryGroup Theory20F55 (Primary) 13A50, 33D80 (Secondary)text