On the Higher-Rank Askey-Wilson Algebras
In the paper, the algebra (), which is generated by an upper triangular generating matrix with triple relations, is introduced. It is shown that there exists an isomorphism between the algebra () and the higher-rank Askey-Wilson algebra () introduced by Crampé et al. Furthermore, we establish a seri...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2024 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212777 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Higher-Rank Askey-Wilson Algebras. Wanxia Wang and Shilin Yang. SIGMA 20 (2024), 115, 30 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | In the paper, the algebra (), which is generated by an upper triangular generating matrix with triple relations, is introduced. It is shown that there exists an isomorphism between the algebra () and the higher-rank Askey-Wilson algebra () introduced by Crampé et al. Furthermore, we establish a series of automorphisms of (), which satisfy braid group relations and coincide with those in ().
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| ISSN: | 1815-0659 |