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Induced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$
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 th...
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| Lenguaje: | eng |
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2000
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| Acceso en línea: | https://dx.doi.org/10.1063/1.1286510 http://cds.cern.ch/record/437697 |
| _version_ | 1780895485401235456 |
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| author | Ky, N A |
| author_facet | Ky, N A |
| author_sort | Ky, N A |
| collection | CERN |
| description | 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. |
| id | cern-437697 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2000 |
| record_format | invenio |
| spelling | cern-4376972019-09-30T06:29:59Zdoi:10.1063/1.1286510http://cds.cern.ch/record/437697engKy, N AInduced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$Mathematical Physics and MathematicsThe 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.math.QA/0005122oai:cds.cern.ch:4376972000-05-12 |
| spellingShingle | Mathematical Physics and Mathematics Ky, N A Induced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$ |
| title | Induced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$ |
| title_full | Induced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$ |
| title_fullStr | Induced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$ |
| title_full_unstemmed | Induced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$ |
| title_short | Induced Representations of the Two Parametric Quantum Deformation $U_{pq}[gl(2/2)]$ |
| title_sort | induced representations of the two parametric quantum deformation $u_{pq}[gl(2/2)]$ |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1063/1.1286510 http://cds.cern.ch/record/437697 |
| work_keys_str_mv | AT kyna inducedrepresentationsofthetwoparametricquantumdeformationupqgl22 |