2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102216We construct level 1 basic representations of the quantized current algebras associated to higher genus algebraic curves using one free field. We also clarify the relation between the elliptic current algebras of the papers [EF] and [JKOS].11 pages, typos and acknowledge addedQuantum AlgebraBasic representations of quantum current algebras in higher genustext