On the Higher-Rank Askey-Wilson Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Wang, Wanxia, Yang, Shilin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212777
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Higher-Rank Askey-Wilson Algebras. Wanxia Wang and Shilin Yang. SIGMA 20 (2024), 115, 30 pages

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...