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.