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dc.contributor.authorPfeiffer, Götz
dc.contributor.authorRandriamaro, Hery
dc.date.accessioned2017-11-24T10:24:53Z
dc.date.available2017-11-24T10:24:53Z
dc.date.issued2017-11-24
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1325
dc.descriptionOWLF 2017en_US
dc.description.abstractThe Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization to compute a Varchenko determinant from a certain level of complexity. Precisely at this point, we provide an explicit formula of this determinant for the hyperplane arrangements associated to the finite Coxeter groups. The intersections of hyperplanes with the chambers of such arrangements have nice properties which play a central role for the calculation of their relating determinants.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relationpublished in: Journal of Group Theory, Band 21, Heft 4, Seiten 651–665, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth-2018-0009.
dc.relation.ispartofseriesOberwolfach Preprints;2017,33
dc.subjectVarchenko determinanten_US
dc.subjectCoxeter groupen_US
dc.subjectHyperplane arrangementen_US
dc.titleThe Varchenko Determinant of a Coxeter Arrangementen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2017-33
local.scientificprogramOWLF 2017en_US
local.series.idOWP-2017-33
local.subject.msc05
local.subject.msc20


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