Truncation of the reflection algebra and the Hahn algebra
Mathematical Physics
2019-10-03 v1 math.MP
Quantum Algebra
Abstract
In the context of connections between algebras coming from quantum integrable systems and algebras associated to the orthogonal polynomials of the Askey scheme, we prove that the truncated reflection algebra attached to the Yangian of sl(2) is isomorphic to the Hahn algebra. As a by-product, we provide a general set-up based on Euler polynomials to study truncations of reflection algebras.
Keywords
Cite
@article{arxiv.1903.05674,
title = {Truncation of the reflection algebra and the Hahn algebra},
author = {Nicolas Crampe and Eric Ragoucy and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1903.05674},
year = {2019}
}