Induced Representations of the Two Parametric Quantum Deformation Upq[gl(2/2)]
Abstract
The two-parametric quantum superalgebra Up,q[gl(2/2)] and its induced representations are considered. A method for constructing all finite-dimensional irreducible representations of this quantum superalgebra is also described in detail. It turns out that finite-dimensional representations of the two-parametric Up,q[gl(2/2)], even at generic deformation parameters, are not simply trivial deformations from those of the classical superalgebra gl(2/2), unlike the one-parametric cases.
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