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The two-parametric quantum superalgebra $U_{p,q}[gl(2/2)]$ and its inducedrepresentations are considered. A method for constructing allfinite-dimensional irreducible representations of this quantum superalgebra isalso described in detail. It turns out that finite-dimensional representationsof the two-parametric $U_{p,q}[gl(2/2)]$, even at generic deformationparameters, are not simply trivial deformations from those of the classicalsuperalgebra $gl(2/2)$, unlike the one-parametric cases.Comment: Latex, 40 pages, no figure. To appear in J. Math. Phys. 41 (2000

Induced representations of the two parametric quantum deformation Upq[gl(2/2)]