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The two-parametric quantum superalgebra $U_{pq}[gl(2/2)]$ and itsrepresentations are considered. All finite-dimensional irreduciblerepresentations of this quantum superalgebra can be constructed and classifiedinto typical and nontypical ones according to a proposition proved in thepresent paper. This proposition is a nontrivial deformation from the one forthe classical superalgebra gl(2/2), unlike the case of one-parametricdeformations.Comment: Latex, 8 pages. A reference added in v.

Irreducible representations ofUp,q[gl(2/2)]

Irreducible representations ofU_p,q[gl(2/2)]