标题： 秩二雅可比代数 显示英文标题

标题： The rank two Jacobi algebra

摘要： 二次秩二雅可比代数由在三角形上正交的双变量雅可比多项式的双谱算子所遵循的关系确定。 它被发现作为秩一的拉卡赫代数和雅可比代数的子代数。 提供了在变量表示中的微分算子形式的对偶实现以及在次数表示中的差分算子形式的对偶实现。 双变量雅可比多项式的结构关系作为副产品得到。 显示英文摘要

摘要： The quadratic rank two Jacobi algebra is identified from the relations obeyed by the bispectral operators of the two variable Jacobi polynomials orthogonal on the triangle. It is seen to admit as subalgebras Racah and Jacobi algebras of rank one. The dual realizations in terms of differential operators in the variable representation and in terms of difference operators in the degree representation are provided. Structure relations for the two variable Jacobi polynomials are obtained as a by product.