On the higher-rank Askey-Wilson algebras
| Autor: | Wang, Wanxia, Yang, Shilin |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In the paper, a new algebra ${\mathcal A}(n)$, 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 ${\mathcal A}(n)$ and the higher Askey-Wilson algebra ${\mathfrak{aw}}(n)$ introduced by Cramp\'{e}, Frappat et al. Furthermore, we establish a series of automorphisms of ${\mathcal A}(n),$ which satisfy braid group relations and coincide with those in ${\mathfrak{aw}}(n).$ Comment: 36 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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