Truncation of the reflection algebra and the Hahn algebra

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 sl2 is isomorphic to the Hahn algebra. As a by-product, we provid...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2019-08, Vol.52 (35), p.35
Hauptverfasser:	Crampé, Nicolas, Ragoucy, Eric, Vinet, Luc, Zhedanov, Alexei
Format:	Artikel
Sprache:	eng
Schlagworte:	Hahn algebra Mathematical Physics Mathematics Quantum Algebra reflection algebras Yangians
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description	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 sl2 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.
doi_str_mv	10.1088/1751-8121/ab32f8
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subjects	Hahn algebra Mathematical Physics Mathematics Quantum Algebra reflection algebras Yangians
title	Truncation of the reflection algebra and the Hahn algebra
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