Superspace realizations of the Bannai–Ito algebra
Résumé
A model of the Bannai-Ito algebra in a superspace is introduced. It is obtained from the three-fold tensor product of the basic realization of the Lie superalgebra osp(1|2) in terms of operators in one continuous and one Grassmanian variable. The basis vectors of the resulting Bannai-Ito algebra module involve Jacobi polynomials.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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