标题： Bannai-Ito代数的超空间实现 显示英文标题

标题： Superspace realizations of the Bannai-Ito algebra

摘要： 引入了超空间中Bannai-Ito代数的一个模型。该模型通过Lie超代数 $osp(1|2)$ 的基本表示的三重张量积获得，表示中包含一个连续变量和一个Grassmann变量上的算子。所得Bannai-Ito代数模的基向量涉及Jacobi多项式。 显示英文摘要

摘要： 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.