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On the invariants of the cohomology of complements of Coxeter arrangements

dc.contributor.authorDouglass, J. Matthew
dc.contributor.authorPfeiffer, Götz
dc.contributor.authorRöhrle, Gerhard
dc.date.accessioned2021-02-04T11:15:14Z
dc.date.issued2019-05-24
dc.identifier.citationDouglass, J. Matthew, Pfeiffer, Götz, & Röhrle, Gerhard. (2020). On the invariants of the cohomology of complements of Coxeter arrangements. Journal of Algebra, 558, 336-349. doi:https://doi.org/10.1016/j.jalgebra.2019.05.010en_IE
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/10379/16537
dc.description.abstractWe refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group W. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit basis of the space of W-invariants in this cohomology ring. (C) 2019 Elsevier Inc. All rights reserved.en_IE
dc.description.sponsorshipThe research of this work was supported by the Simons Foundation (Grant #245399 to J.M. Douglass) and by the DFG (Grant #RO 1072/16-1 to G. R¨ohrle). J.M. Douglass would like to acknowledge that some of this material is based upon work supported by (while serving at) the National Science Foundation. Part of the research for this paper was carried out during a stay at the Mathematical Research Institute Oberwolfach supported by the “Research in Pairs” program.en_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherElsevieren_IE
dc.relation.ispartofJournal Of Algebraen
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectPARABOLIC SUBGROUPSen_IE
dc.subjectCOMPUTATIONSen_IE
dc.subjectINVOLUTIONSen_IE
dc.titleOn the invariants of the cohomology of complements of Coxeter arrangementsen_IE
dc.typeArticleen_IE
dc.date.updated2021-02-03T15:21:43Z
dc.identifier.doi10.1016/j.jalgebra.2019.05.010
dc.local.publishedsourcehttps://doi.org/10.1016/j.jalgebra.2019.05.010en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funderSimons Foundationen_IE
dc.contributor.funderDeutsche Forschungsgemeinschaften_IE
dc.description.embargo2021-05-24
dc.internal.rssid21391542
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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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland