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An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$ U ( osp ( 1 , 2 ) ) and $$-1$$ - 1 polynomials

An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$ U ( osp ( 1 , 2 ) ) and $$-1$$ - 1 polynomials