A note on the $O_q(\hat{sl_2})$ algebra
Mathematical Physics
2010-12-24 v1 math.MP
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.
Cite
@article{arxiv.1012.5261,
title = {A note on the $O_q(\hat{sl_2})$ algebra},
author = {P. Baseilhac and S. Belliard},
journal= {arXiv preprint arXiv:1012.5261},
year = {2010}
}
Comments
11 pages