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.
Publié le : 2007-05-15
Classification:
Matrix-valued orthogonal polynomials,
algebra of differential operators,
33C45,
42C05,
22E45
@article{1204905875,
author = {Gr\"unenbaum, F. Alberto and de la Iglesia, Manuel D.},
title = {Matrix-Valued Orthogonal Polynomials Related to $SU({\ATI N}\,+\,1)$, Their Algebras of Differential Operators, and the Corresponding Curves},
journal = {Experiment. Math.},
volume = {16},
number = {1},
year = {2007},
pages = { 189-208},
language = {en},
url = {http://dml.mathdoc.fr/item/1204905875}
}
Grünenbaum, F. Alberto; de la Iglesia, Manuel D. Matrix-Valued Orthogonal Polynomials Related to $SU({\ATI N}\,+\,1)$, Their Algebras of Differential Operators, and the Corresponding Curves. Experiment. Math., Tome 16 (2007) no. 1, pp. 189-208. http://gdmltest.u-ga.fr/item/1204905875/