Higher rank classical analogs of the Askey-Wilson algebra from the slN Onsager algebra.
BASEILHAC, Pascal; CRAMPÉ, Nicolas; PIMENTA, Rodrigo Alves.
BASEILHAC, Pascal; CRAMPÉ, Nicolas; PIMENTA, Rodrigo Alves.
 Abstract: The slN-Onsager algebra has been introduced by Uglov and Ivanov in 1995. In this letter, a FRT presentation of the slN-Onsager algebra is given, and its current algebra and commutative subalgebra are constructed. Certain quotients of the slN-Onsager algebra are then considered, which produce classical (q = 1) analogs of higher rank extensions of the Askey-Wilson algebra. As examples, the cases N = 3 and N = 4 are described in detail. | |
| Journal of Mathematical Physics |
| v. 60, n. 8, p. 081703-1-081703-13 - Ano: 2019 |
| Fator de Impacto: 1,355 |
| http://dx.doi.org/10.1063/1.5111292 |  @article={002958845,author = {BASEILHAC, Pascal; CRAMPÉ, Nicolas; PIMENTA, Rodrigo Alves.},title={Higher rank classical analogs of the Askey-Wilson algebra from the slN Onsager algebra},journal={Journal of Mathematical Physics},note={v. 60, n. 8, p. 081703-1-081703-13},year={2019}} |