Matrix valued orthogonal polynomials related to SU$(N+1)$, their algebras of differential operators and the corresponding curves

Abstract

We give two examples of algebras of differential operators associated to families of matrix valued orthogonal polynomials arising from representations of SU$(N+1)$. The first one gives a commutative algebra and the second one a non--commutative one.

33 pages

References in corpus (1)

• A sequence of matrix valued orthogonal polynomials associated to spherical functions

Cited by in corpus (2)

• Some examples of orthogonal matrix polynomials satisfying odd order differential equations
• A sequence of matrix valued orthogonal polynomials associated to spherical functions