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Superspace realizations of the Bannai–Ito algebra

Letters in Mathematical Physics, ISSN: 1573-0530, Vol: 113, Issue: 5
2023
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Article Description

A model of the Bannai–Ito algebra in a superspace is introduced. It is obtained from the threefold 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.

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