Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Quantum Analogs of Tensor Product Representations of su(1,1)
Репозиторій DSpace/Manakin
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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| dc.contributor.author | Groenevelt, W. | |
| dc.date.accessioned | 2019-02-14T17:38:28Z | |
| dc.date.available | 2019-02-14T17:38:28Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Quantum Analogs of Tensor Product Representations of su(1,1) / W. Groenevelt // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 20 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 20G42; 33D80 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2011.077 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147402 | |
| dc.description.abstract | We study representations of Uq(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1). We determine the decomposition of these representations into irreducible *-representations of Uq(su(1,1)) by diagonalizing the action of the Casimir operator on suitable subspaces of the representation spaces. This leads to an interpretation of the big q-Jacobi polynomials and big q-Jacobi functions as quantum analogs of Clebsch-Gordan coefficients. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue “Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/OPSF.html. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Quantum Analogs of Tensor Product Representations of su(1,1) | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
