Superspace realizations of the Bannai-Ito algebra
arXiv:2306.02714 · doi:10.1007/s11005-023-01731-6
Abstract
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 in terms of operators in one continuous and one Grassmanian variable. The basis vectors of the resulting Bannai-Ito algebra module involve Jacobi polynomials.