### Matrix orthogonal polynomials and group representations

Pacharoni, I *(Universidad Nacional de Córdoba)*

Thursday 02 July 2009, 12:00-12:30

Seminar Room 1, Newton Institute

#### Abstract

In the scalar case, it is well known that classical orthogonal polynomials can be obtained as the zonal spherical functions of compact Riemannian symmetric space of rank one. The main purpose of this talk is to exhibit the interplay among the matrix orthogonal polynomials, the matrix hypergeometric functions and the matrix spherical functions in the context of the complex projective space. Also an example in two variables, related with the grassmannian manifolds will be considered.

#### Presentation

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