2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61383The relation of crystal bases with $q$-identities is discussed, and some new results on crystals and $q$-identities associated with the affine Lie algebra $C_n^{(1)}$ are presented.25 pages, style file axodraw.sty requiredQuantum AlgebraMathematical Physics81R10; 17B65; 05A30; 82B20; 82B23; 05A17text