The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials
The Racah problem for the quantum superalgebra osp[subscript q] (1|2) is considered. The intermediate Casimir operators are shown to realize a q-deformation of the Bannai–Ito algebra. The Racah coefficients of osp[subscript q] (1|2) are calculated explicitly in terms of basic orthogonal polynomials...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/107977 |
| _version_ | 1826197900935299072 |
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| author | Vinet, Luc Zhedanov, Alexei Genest, Vincent |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Vinet, Luc Zhedanov, Alexei Genest, Vincent |
| author_sort | Vinet, Luc |
| collection | MIT |
| description | The Racah problem for the quantum superalgebra osp[subscript q] (1|2) is considered. The intermediate Casimir operators are shown to realize a q-deformation of the Bannai–Ito algebra. The Racah coefficients of osp[subscript q] (1|2) are calculated explicitly in terms of basic orthogonal polynomials that q-generalize the Bannai–Ito polynomials. The relation between these q-deformed Bannai–Ito polynomials and the q-Racah/Askey–Wilson polynomials is discussed. |
| first_indexed | 2024-09-23T10:55:22Z |
| format | Article |
| id | mit-1721.1/107977 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:55:22Z |
| publishDate | 2017 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1079772022-09-30T23:59:20Z The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials The Quantum Superalgebra ospq (1|2) and a q-Generalization of the Bannai–Ito Polynomials Vinet, Luc Zhedanov, Alexei Genest, Vincent Massachusetts Institute of Technology. Department of Mathematics Genest, Vincent The Racah problem for the quantum superalgebra osp[subscript q] (1|2) is considered. The intermediate Casimir operators are shown to realize a q-deformation of the Bannai–Ito algebra. The Racah coefficients of osp[subscript q] (1|2) are calculated explicitly in terms of basic orthogonal polynomials that q-generalize the Bannai–Ito polynomials. The relation between these q-deformed Bannai–Ito polynomials and the q-Racah/Askey–Wilson polynomials is discussed. 2017-04-07T20:10:17Z 2017-04-07T20:10:17Z 2016-05 2015-01 2016-05-23T12:09:25Z Article http://purl.org/eprint/type/JournalArticle 0010-3616 1432-0916 http://hdl.handle.net/1721.1/107977 Genest, Vincent X., Luc Vinet, and Alexei Zhedanov. “The Quantum Superalgebra ospq](1|2) and a q-Generalization of the Bannai–Ito Polynomials.” Communications in Mathematical Physics 344, no. 2 (May 9, 2016): 465–481. en http://dx.doi.org/10.1007/s00220-016-2647-2 Communications in Mathematical Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Vinet, Luc Zhedanov, Alexei Genest, Vincent The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials |
| title | The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials |
| title_full | The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials |
| title_fullStr | The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials |
| title_full_unstemmed | The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials |
| title_short | The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials |
| title_sort | quantum superalgebra osp subscript q 1 2 and a q generalization of the bannai ito polynomials |
| url | http://hdl.handle.net/1721.1/107977 |
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