dc.contributor.author Ignacio Nahuel Zurrián dc.date.accessioned 2016-09-22T10:46:36Z dc.date.available 2016-09-22T10:46:36Z dc.date.issued 2015-07-29 dc.identifier.uri http://publications.mfo.de/handle/mfo/189 dc.description OWLF 2015 en_US dc.description.abstract In this work we study in detail the algebra of differential operators $\mathcal{D}(W)$ associated with a Gegenbauer matrix weight. We prove that two second order operators generate the algebra, indeed $\mathcal{D}(W)$ is isomorphic to the free algebra generated by two elements subject to certain relations. Also, the center is isomorphic to the affine algebra of a singular rational curve. The algebra $\mathcal{\mathcal{D}}(W)$ is a finitely-generated torsion-free module over its center, but it is not at and therefore neither projective. After [Tir11], this is the second detailed study of an algebra $\mathcal{D}(W)$ and the first one coming from spherical functions and group representation theory. en_US dc.language.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2015,07 dc.subject Matrix Orthogonal Polynomials en_US dc.subject Matrix Differential Operators en_US dc.subject Bispectral Problem en_US dc.subject Differential Operators Algebra en_US dc.title The algebra of differential operators for a Gegenbauer weight matrix en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2015-07 local.scientificprogram OWLF 2015 local.series.id OWP-2015-07 local.subject.msc 13 local.subject.msc 16 local.subject.msc 33 local.subject.msc 35
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