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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2024 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2024
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| Online Zugang: | 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 |
| Zitieren: | On the Higher-Rank Askey-Wilson Algebras. Wanxia Wang and Shilin Yang. SIGMA 20 (2024), 115, 30 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862637762197323776 |
|---|---|
| author | Wang, Wanxia Yang, Shilin |
| author_facet | Wang, Wanxia Yang, Shilin |
| citation_txt | On the Higher-Rank Askey-Wilson Algebras. Wanxia Wang and Shilin Yang. SIGMA 20 (2024), 115, 30 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-15T01:38:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212777 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T01:38:51Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Wang, Wanxia Yang, Shilin 2026-02-11T10:37:18Z 2024 On the Higher-Rank Askey-Wilson Algebras. Wanxia Wang and Shilin Yang. SIGMA 20 (2024), 115, 30 pages 1815-0659 2020 Mathematics Subject Classification: 20F36; 33D45; 81R12 arXiv:2407.10404 https://nasplib.isofts.kiev.ua/handle/123456789/212777 https://doi.org/10.3842/SIGMA.2024.115 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 (). The authors are very grateful to the anonymous referees for their careful review of the manuscript and many valuable comments, which significantly enhance the quality of the paper. This work is supported by the National Natural Science Foundation of China (Grant No. 12471038). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Higher-Rank Askey-Wilson Algebras Article published earlier |
| spellingShingle | On the Higher-Rank Askey-Wilson Algebras Wang, Wanxia Yang, Shilin |
| title | On the Higher-Rank Askey-Wilson Algebras |
| title_full | On the Higher-Rank Askey-Wilson Algebras |
| title_fullStr | On the Higher-Rank Askey-Wilson Algebras |
| title_full_unstemmed | On the Higher-Rank Askey-Wilson Algebras |
| title_short | On the Higher-Rank Askey-Wilson Algebras |
| title_sort | on the higher-rank askey-wilson algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212777 |
| work_keys_str_mv | AT wangwanxia onthehigherrankaskeywilsonalgebras AT yangshilin onthehigherrankaskeywilsonalgebras |