2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77804We construct a basis of the basic $sl(3,C)\sptilde$-module parameterized by colored partitions and, as a consequence, we obtain a Rogers-Ramanujan type combinatorial identity.19 pages, AMS-TeX, minor grammatical changes to v1Quantum Algebra17B67 (Primary) 05A19 (Secondary)text