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천지원올림

Time : October 15th (Wed) 10:30-11:30

Place: 129-301

Title: The dynamical algebra of the superintegrable model on the 2-sphere and two-variable Jacobi polynomials

Abstract:

The dynamical algebra of the generic superintegrable model on S_2 will be introduced. It will be shown to provide an algebraic interpretation of the bivariate Jacobi polynomials. This will offer a framework to review the properties of certain algebras of the Askey-Wilson type that are associated to bispectral hypergeometric polynomials. The covariance of the pentagonal scheme that will have emerged shall be described.