Skip to Main content Skip to Navigation
Journal articles

FRT presentation of classical Askey–Wilson algebras

Abstract : 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.
Complete list of metadatas

Cited literature [36 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02152774
Contributor : Sandrine Renard-Riccetti <>
Submitted on : Tuesday, June 11, 2019 - 4:44:14 PM
Last modification on : Thursday, March 5, 2020 - 3:31:52 PM

File

1806.07232.pdf
Files produced by the author(s)

Identifiers

Citation

Pascal Baseilhac, Nicolas Crampé. FRT presentation of classical Askey–Wilson algebras. Letters in Mathematical Physics, Springer Verlag, In press, ⟨10.1007/s11005-019-01182-y⟩. ⟨hal-02152774⟩

Share

Metrics

Record views

164

Files downloads

274