A note on the algebra
arXiv:1012.5261
Abstract
An explicit homomorphism that relates the elements of the infinite dimensional non-Abelian algebra generating currents and the standard generators of the Onsager algebra is proposed. Two straightforward applications of the result are then considered: First, for the class of quantum integrable models which integrability condition originates in the Onsager spectrum generating algebra, the infinite deformed Dolan-Grady hierarchy is derived - bypassing the transfer matrix formalism. Secondly, higher Askey-Wilson relations that arise in the study of symmetric special functions generalizing the Askey-Wilson orthogonal polynomials are proposed.
11 pages