2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77863We prove a bosonic formula for the generating function of level-restricted paths for the infinite families of affine Kac-Moody algebras. In affine type A this yields an expression for the level-restricted generalized Kostka polynomials.16 pages, AMS-LaTeX, style file axodraw.sty required; Lemma 4 extended to include perfect crystals of level 2Quantum AlgebraCombinatoricsRepresentation Theory05E15, 81R10, 81R50 (Primary) 82B23 (Secondary)text