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dc.contributor.authorIgnacio Nahuel Zurrián
dc.date.accessioned2016-09-22T10:46:36Z
dc.date.available2016-09-22T10:46:36Z
dc.date.issued2015-07-29
dc.identifier.urihttp://publications.mfo.de/handle/mfo/189
dc.descriptionOWLF 2015en_US
dc.description.abstractIn 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.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2015,07
dc.subjectMatrix Orthogonal Polynomialsen_US
dc.subjectMatrix Differential Operatorsen_US
dc.subjectBispectral Problemen_US
dc.subjectDifferential Operators Algebraen_US
dc.titleThe algebra of differential operators for a Gegenbauer weight matrixen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2015-07
local.scientificprogramOWLF 2015
local.series.idOWP-2015-07
local.subject.msc13
local.subject.msc16
local.subject.msc33
local.subject.msc35
dc.identifier.urnurn:nbn:de:101:1-2015060913320
dc.identifier.ppn1657060993


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