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Induced Representations of the Two Parametric Quantum Deformation U$_{pq}$[gl(2/2)]

Nguyen Anh Ky
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Abstract

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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BibTeXRIS

Nguyen Anh Ky. 2000-05-12. Induced Representations of the Two Parametric Quantum Deformation U$_{pq}$[gl(2/2)]. https://doi.org/10.1063/1.1286510

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