dc.contributor.author Pfeiffer, Götz dc.contributor.author Randriamaro, Hery dc.date.accessioned 2017-11-24T10:24:53Z dc.date.available 2017-11-24T10:24:53Z dc.date.issued 2017-11-24 dc.identifier.uri http://publications.mfo.de/handle/mfo/1325 dc.description OWLF 2017 en_US dc.description.abstract The 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.iso en_US en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation published 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.ispartofseries Oberwolfach Preprints;2017,33 dc.subject Varchenko determinant en_US dc.subject Coxeter group en_US dc.subject Hyperplane arrangement en_US dc.title The Varchenko Determinant of a Coxeter Arrangement en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2017-33 local.scientificprogram OWLF 2017 en_US local.series.id OWP-2017-33 local.subject.msc 05 local.subject.msc 20
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