Induced Representations of the Two Parametric Quantum Deformation U_{pq}[gl(2/2)]
classification
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hep-thmath-phmath.GRmath.MPmath.RTnlin.SIquant-ph
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representationsquantumsuperalgebradeformationfinite-dimensionalinducedtwo-parametriccases
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The two-parametric quantum superalgebra $U_{p,q}[gl(2/2)]$ 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 $U_{p,q}[gl(2/2)]$, 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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