# An embedding of the Bannai-Ito algebra in $U(osp(1,2))$ and −1 polynomials

Abstract : An embedding of the Bannai-Ito algebra in the universal enveloping algebra of osp(1,2) is provided. A connection with the characterization of the little −1 Jacobi polynomials is found in the holomorphic realization of osp(1,2). An integral expression for the Bannai-Ito polynomials is derived as a corollary.
Keywords :
Type de document :
Pré-publication, Document de travail
2017
Domaine :

https://hal-cea.archives-ouvertes.fr/cea-01529434
Contributeur : Pascal Baseilhac <>
Soumis le : mardi 30 mai 2017 - 18:14:55
Dernière modification le : mercredi 31 mai 2017 - 01:04:28

### Identifiants

• HAL Id : cea-01529434, version 1
• ARXIV : 1705.09737

### Citation

Luc Vinet, Alexei Zhedanov, Vincent Genest. An embedding of the Bannai-Ito algebra in $U(osp(1,2))$ and −1 polynomials. 2017. 〈cea-01529434〉

### Métriques

Consultations de la notice