2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61275We give some closed formulas for certain vectors of the canonical bases of the Fock space representation of U_v(sl^_n). As a result, a combinatorial description of certain parabolic Kazhdan-Lusztig polynomials for affine type A is obtained.22 pagesQuantum AlgebraRepresentation Theory17B;05E;20Ctext