2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140909We introduce and study symmetric and exterior algebras in braided monoidal categories such as the category O for quantum groups. We relate our braided symmetric algebras and braided exterior algebas with their classical counterparts.45 pages, to appear in Transactions, some typos are correctedQuantum AlgebraRepresentation Theorytext