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dc.contributor.authorBishop, Marcus
dc.contributor.authorDouglass, J. Matthew
dc.contributor.authorPfeiffer, Götz
dc.contributor.authorRöhrle, Gerhard
dc.date.accessioned2017-12-05T10:13:54Z
dc.date.available2017-12-05T10:13:54Z
dc.date.issued2014-11-06
dc.identifier.citationBishop, Marcus, Matthew Douglass, J., Pfeiffer, Götz, & Röhrle, Gerhard. (2015). Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight. Journal of Algebra, 423(Supplement C), 1213-1232. doi: https://doi.org/10.1016/j.jalgebra.2014.10.025en_IE
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/10379/7006
dc.description.abstractIn this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the p-th graded component of its Orlik-Solomon algebra as a sum of characters induced from linear characters of centralizers of elements of W for groups of rank seven and eight. For classical Coxeter groups, these characters are given using a formula that is expected to hold in all ranks. (C) 2014 Elsevier Inc. All rights reserved.en_IE
dc.description.sponsorshipThe authors would like to acknowledge support from the DFG-priority program SPP1489Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. This work was partially supported by a grant from the Simons Foundation (Grant #245399 to J. Matthew Douglass).en_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherElsevieren_IE
dc.relation.ispartofJournal Of Algebraen
dc.subjectCoxeter groupen_IE
dc.subjectOrlik-Solomon algebraen_IE
dc.subjectDescent algebraen_IE
dc.subjectHYPERPLANE COMPLEMENTSen_IE
dc.subjectREFLECTION GROUPSen_IE
dc.subjectWEYL GROUPSen_IE
dc.subjectCOMBINATORICSen_IE
dc.subjectAlgebraen_IE
dc.subjectMathematicsen_IE
dc.titleComputations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eighten_IE
dc.typeArticleen_IE
dc.date.updated2017-12-04T09:20:06Z
dc.identifier.doi10.1016/j.jalgebra.2014.10.025
dc.local.publishedsourcehttps://doi.org/10.1016/j.jalgebra.2014.10.025en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid8791759
dc.local.contactGotz Pfeiffer, Dept. Of Mathematics, Room C208, Áras De Brún, Nui Galway. 3591 Email: goetz.pfeiffer@nuigalway.ie
dc.local.copyrightcheckedYes
dc.local.versionACCEPTED
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