2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60312We investigate two-parameter quantum groups corresponding to the general linear and special linear Lie algebras gl_n and sl_n. We show that these quantum groups can be realized as Drinfel'd doubles of certain Hopf subalgebras with respect to Hopf pairings. Using the Hopf pairing, we construct a corresponding R-matrix and a quantum Casimir element. We discuss isomorphisms among these quantum groups and connections with multiparameter quantum groups.26 pages, AMS-TeX. Paper rewritten, new material added, some results appear in "Representations of Two-Parameter Quantum Groups and Schur-Weyl Duality"Quantum AlgebraMathematical PhysicsRings and Algebras17B37, 16W30, 16W35, 81R50text