Truncation of the reflection algebra and the Hahn algebra

Nicolas Crampé 1, 2, * Eric Ragoucy 3, * Luc Vinet 2, * Alexei Zhedanov 4, *
* Corresponding author
1 IDP - Institut Denis Poisson
2 CRM - Centre de Recherches Mathématiques [Montréal]
3 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique
4 Department of Mathematics [Renmin]
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 sl2 is isomorphic to the Hahn algebra. As a by-product, we provide a general setup based on Euler polynomials to study truncations of reflection algebras.
Document type :
Journal articles
Complete list of metadatas

Cited literature [26 references]  Display  Hide  Download
https://hal-univ-tours.archives-ouvertes.fr/hal-02305525
Contributor : Sandrine Renard-Riccetti <>
Submitted on : Friday, October 4, 2019 - 11:53:01 AM
Last modification on : Wednesday, November 6, 2019 - 3:20:03 PM

File

1903.05674.pdf
Files produced by the author(s)

Identifiers

Collections

UNIV-TOURS | INSMI | CNRS | UNIV-ORLEANS | UNIV-SAVOIE | IDP | LAPTH | UGA

Citation

Nicolas Crampé, Eric Ragoucy, Luc Vinet, Alexei Zhedanov. Truncation of the reflection algebra and the Hahn algebra. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2019, 52 (35), pp.35LT01. ⟨10.1088/1751-8121/ab32f8⟩. ⟨hal-02305525⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

50

Files downloads

81

Contact

CCSD