[QSMS Algebra Seminar-20251015] The dynamical algebra of the superintegrable model on the 2-sphere and two-variable Jacobi polynomials

by qsms posted Oct 09, 2025
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일정시작 2025-10-15
일정종료 2025-10-15
배경색상 #77CC00
  • Date:  2025-10-15  (Wed) 10:30 ~ 11:30  
  • Place:  129-301 (Seoul National University) 
  • Speaker:  Luc Vinet (University of Montreal)
  • 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.


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