Bases of the contact-order filtration of derivations of Coxeter arrangements

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dc.creatorTerao, Hiroaki
dc.date2002-06-20
dc.date2006-02-26
dc.date.accessioned2026-07-07T09:32:45Z
dc.date.available2026-07-07T09:32:45Z
dc.descriptionIn [5] (=Terao, H.: Multiderivations of Coxeter arrangements. Inventiones math., 148 (2002) 659--674), we constructed a basis for the contact-order filtration of the module of derivations on the orbit space of a finite real reflection group acting on an $\ell$-dimensional Euclidean space. Recently M. Yoshinaga constructed another basis for the contact-order filtration in [7] (=Yoshinaga, M.: The primitive derivation and freeness of multi-Coxeter arrangements. preprint 2002). In this note we give an explicit formula relating Yoshinaga's basis to the basis given in [5]. The two bases turn out to be equal (up to a constant matrix).
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0206204
dc.identifierhttp://arxiv.org/abs/math/0206204
dc.identifierProc. AMS 133 (2005), 2029-2034; 136 (2008), 2639-2639
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158895
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject32S22
dc.titleBases of the contact-order filtration of derivations of Coxeter arrangements
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