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2007 Matrix-Valued Orthogonal Polynomials Related to $SU({\ATI N}\,+\,1)$, Their Algebras of Differential Operators, and the Corresponding Curves
F. Alberto Grünenbaum, Manuel D. de la Iglesia
Experiment. Math. 16(2): 189-208 (2007).

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.

Citation

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F. Alberto Grünenbaum. Manuel D. de la Iglesia. "Matrix-Valued Orthogonal Polynomials Related to $SU({\ATI N}\,+\,1)$, Their Algebras of Differential Operators, and the Corresponding Curves." Experiment. Math. 16 (2) 189 - 208, 2007.

Information

Published: 2007
First available in Project Euclid: 7 March 2008

MathSciNet: MR2339275

Subjects:
Primary: 22E45 , 33C45 , 42C05

Keywords: algebra of differential operators , Matrix-valued orthogonal polynomials

Rights: Copyright © 2007 A K Peters, Ltd.

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Vol.16 • No. 2 • 2007
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