Higher rank classical analogs of the Askey-Wilson algebra from the $sl_N$ Onsager algebra Auteur(s): Baseilhac Pascal, Crampé N., Pimenta Rodrigo A. (Article) Publié: Journal Of Mathematical Physics, vol. 60 p.081703 (2019) Texte intégral en Openaccess : Ref HAL: hal-01926766_v1 Ref Arxiv: 1811.02763 DOI: 10.1063/1.5111292 WoS: 000483885000058 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 1 Citation Résumé: The $sl_N$-Onsager algebra has been introduced by Uglov and Ivanov in 1995. In this letter, a FRT presentation of the $sl_N$-Onsager algebra is given, its current algebra and commutative subalgebra are constructed. Certain quotients of the $sl_N$-Onsager algebra are then considered, which produce `classical' analogs of higher rank extensions of the Askey-Wilson algebra. As examples, the cases $N=3$ and $N=4$ are described in details. Commentaires: 13 pages |