J. Phys. A - Math. Gen. 34, 7881-7887 (2001)

SCI

Irreducible representations of Up,q[gl(2/2)]

N. A. Ky

The two-parametric quantum superalgebra U-p,(q)[gl(2/2)] and its representations are considered. All finite- dimensional irreducible representations of this quantum superalgebra can be constructed and classified into typical and non-typical ones according to a proposition proved in the present paper. This proposition is a non-trivial deformation from the one for the classical superalgebra gl(2/2), unlike the case of one-parametric deformations.