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dc.contributor.authorBuchweitz, Ragnar-Olaf
dc.contributor.authorFaber, Eleonore
dc.contributor.authorIngalls, Colin
dc.date.accessioned2018-07-04T06:52:00Z
dc.date.available2018-07-04T06:52:00Z
dc.date.issued2018-07-02
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1373
dc.description.abstractWe construct a noncommutative desingularization of the discriminant of a finite reflection group $G$ as a quotient of the skew group ring $A=S*G$. If $G$ is generated by order two reflections, then this quotient identifies with the endomorphism ring of the reflection arrangement $\mathcal{A}(G)$ viewed as a module over the coordinate ring $S^G/(\Delta)$ of the discriminant of $G$. This yields, in particular, a correspondence between the nontrivial irreducible representations of $G$ to certain maximal Cohen--Macaulay modules over the coordinate ring $S^G/(\Delta)$. These maximal Cohen--Macaulay modules are precisely the nonisomorphic direct summands of the coordinate ring of the reflection arrangement $\mathcal{A} (G)$ viewed as a module over $S^G/(\Delta)$. We identify some of the corresponding matrix factorizations, namely the so-called logarithmic co-residues of the discriminant.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2018,14
dc.subjectReflection groupsen_US
dc.subjectHyperplane arrangementsen_US
dc.subjectMaximal Cohen–Macaulay modulesen_US
dc.subjectMatrix factorizationsen_US
dc.subjectNoncommutative desingularizationen_US
dc.titleA McKay Correspondence for Reflection Groupsen_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-2018-14
local.scientificprogramOWLF 2017en_US
local.series.idOWP-2018-14en_US
local.subject.msc14en_US
local.subject.msc13en_US
dc.identifier.urnurn:nbn:de:101:1-2018082111103787670483
dc.identifier.ppn1655292005


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