Quantum Analogs of Tensor Product Representations of su(1,1)
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 t...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147402 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147402 |
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dspace |
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irk-123456789-1474022019-02-15T01:23:19Z Quantum Analogs of Tensor Product Representations of su(1,1) Groenevelt, W. 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. 2011 Article 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. 1815-0659 2010 Mathematics Subject Classification: 20G42; 33D80 DOI: http://dx.doi.org/10.3842/SIGMA.2011.077 http://dspace.nbuv.gov.ua/handle/123456789/147402 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Groenevelt, W. |
| spellingShingle |
Groenevelt, W. Quantum Analogs of Tensor Product Representations of su(1,1) Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Groenevelt, W. |
| author_sort |
Groenevelt, W. |
| title |
Quantum Analogs of Tensor Product Representations of su(1,1) |
| title_short |
Quantum Analogs of Tensor Product Representations of su(1,1) |
| title_full |
Quantum Analogs of Tensor Product Representations of su(1,1) |
| title_fullStr |
Quantum Analogs of Tensor Product Representations of su(1,1) |
| title_full_unstemmed |
Quantum Analogs of Tensor Product Representations of su(1,1) |
| title_sort |
quantum analogs of tensor product representations of su(1,1) |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147402 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:27:20Z |
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