Irreducible representations of \(U_{p,q}[\text{gl}(2/2)]\). (Q2766284)
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scientific article; zbMATH DE number 1695748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irreducible representations of \(U_{p,q}[\text{gl}(2/2)]\). |
scientific article; zbMATH DE number 1695748 |
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27 January 2002
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quantum superalgebra, finite-dimensional irreducible representations
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Irreducible representations of \(U_{p,q}[\text{gl}(2/2)]\). (English)
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Finite-dimensional representations of the two-parametric quantum Lie superalgebra \(U_{p,q}[\text{gl}(2/2)]\), constructed via the procedure outlined by the author in J. Math. Phys. 41, No. 9, 6487--6508 (2000; Zbl 0992.81036), are irreducible (typical) or indecomposable (non-typical) depending on whether the condition, derived in the present work, is obeyed or not. Even at generic deformation parameters, they are nontrivial deformations from the classical analogues.
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