2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185764The two-parametric quantum superalgebra $U_{p,q}[gl(2/1)]$ is consistently defined. A construction procedure for induced representations of $U_{p,q}[gl(2/1)]$ is described and allows us to construct explicitly all (typical and nontypical) finite-dimensional representations of this quantum superalgebra. In spite of some specific features, the present approach is similar to a previously developed method [1] which, as shown here, is applicable not only to the one-parametric quantum deformations but also to the multi-parametric ones.Latex, 13 pages, no figureQuantum AlgebraHigh Energy Physics - TheoryMathematical PhysicsRepresentation Theory81R50; 17A70text