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Irreducible representations of Upq[gl(2/2)]
The two-parametric quantum superalgebra $U_{pq}[gl(2/2)]$ and its representations are considered. All finite-dimensional irreducible representations of this quantum superalgebra can be constructed and classified into typical and nontypical ones according to a proposition proved in the present paper....
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| Lenguaje: | eng |
| Publicado: |
2001
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| Acceso en línea: | https://dx.doi.org/10.1088/0305-4470/34/38/312 http://cds.cern.ch/record/495256 |
| _version_ | 1780897153537802240 |
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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 $U_{pq}[gl(2/2)]$ and its representations are considered. All finite-dimensional irreducible representations of this quantum superalgebra can be constructed and classified into typical and nontypical ones according to a proposition proved in the present paper. This proposition is a nontrivial deformation from the one for the classical superalgebra gl(2/2), unlike the case of one-parametric deformations. |
| id | cern-495256 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2001 |
| record_format | invenio |
| spelling | cern-4952562019-09-30T06:29:59Zdoi:10.1088/0305-4470/34/38/312http://cds.cern.ch/record/495256engKy, N AIrreducible representations of Upq[gl(2/2)]Mathematical Physics and MathematicsThe two-parametric quantum superalgebra $U_{pq}[gl(2/2)]$ and its representations are considered. All finite-dimensional irreducible representations of this quantum superalgebra can be constructed and classified into typical and nontypical ones according to a proposition proved in the present paper. This proposition is a nontrivial deformation from the one for the classical superalgebra gl(2/2), unlike the case of one-parametric deformations.math.QA/0104105oai:cds.cern.ch:4952562001-04-10 |
| spellingShingle | Mathematical Physics and Mathematics Ky, N A Irreducible representations of Upq[gl(2/2)] |
| title | Irreducible representations of Upq[gl(2/2)] |
| title_full | Irreducible representations of Upq[gl(2/2)] |
| title_fullStr | Irreducible representations of Upq[gl(2/2)] |
| title_full_unstemmed | Irreducible representations of Upq[gl(2/2)] |
| title_short | Irreducible representations of Upq[gl(2/2)] |
| title_sort | irreducible representations of upq[gl(2/2)] |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1088/0305-4470/34/38/312 http://cds.cern.ch/record/495256 |
| work_keys_str_mv | AT kyna irreduciblerepresentationsofupqgl22 |