FRT presentation of classical Askey–Wilson algebras Auteur(s): Baseilhac Pascal, Crampé N. (Article) Publié: Letters In Mathematical Physics, vol. 109 p.2187–2207 (2019) Texte intégral en Openaccess : Ref HAL: hal-02152774_v1 Ref Arxiv: 1806.07232 DOI: 10.1007/s11005-019-01182-y WoS: 000484976800002 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 4 Citations Résumé: Automorphisms of the infinite dimensional Onsager algebra are introduced. Certain quotients of the Onsager algebra are formulated using a polynomial in these automorphisms. In the simplest case, the quotient coincides with the classical analog of the Askey-Wilson algebra. In the general case, generalizations of the classical Askey-Wilson algebra are obtained. The corresponding class of solutions of the non-standard classical Yang-Baxter algebra are constructed, from which a generating function of elements in the commutative subalgebra is derived. We provide also another presentation of the Onsager algebra and of the classical Askey-Wilson algebras. |