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Experimental Mathematics Volume 16, 2007 - Issue 2
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Original Article

Matrix-Valued Orthogonal Polynomials Related to SU(N+ 1), Their Algebras of Differential Operators, and the Corresponding Curves

F. Alberto Grünbaum Department of Mathematics, University of California, Berkeley, CA 94720
&
Manuel D. de la Iglesia Departamento de Análisis Matemático, Universidad de Sevilla, Apdo (P.O. Box) 1160, 41080 Sevilla, Spain
Pages 189-207 | Published online: 30 Jan 2011
 
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Abstract

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

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