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dc.contributor.authorYalçın, Ergün
dc.contributor.authorReeh, Sune Nikolaj Precht
dc.date.accessioned2018-03-27T13:35:53Z
dc.date.available2018-03-27T13:35:53Z
dc.date.issued2017-05
dc.identifier.issn0025-5874
dc.identifier.issn1432-1823
dc.identifier.urihttp://hdl.handle.net/1721.1/114302
dc.description.abstractWe define the representation ring of a saturated fusion system F as the Grothendieck ring of the semiring of F-stable representations, and study the dimension functions of F-stable representations using the transfer map induced by the characteristic idempotent of F. We find a list of conditions for an F-stable super class function to be realized as the dimension function of an F-stable virtual representation. We also give an application of our results to constructions of finite group actions on homotopy spheres.en_US
dc.description.sponsorshipDanish Council for Independent Research (DFF–4002-00224)en_US
dc.publisherSpringer Berlin Heidelbergen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00209-017-1898-8en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceSpringer Berlin Heidelbergen_US
dc.titleRepresentation rings for fusion systems and dimension functionsen_US
dc.typeArticleen_US
dc.identifier.citationReeh, Sune Precht, and Ergün Yalçın. “Representation Rings for Fusion Systems and Dimension Functions.” Mathematische Zeitschrift, vol. 288, no. 1–2, Feb. 2018, pp. 509–30.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorReeh, Sune Nikolaj Precht
dc.relation.journalMathematische Zeitschriften_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2018-03-14T04:57:47Z
dc.language.rfc3066en
dc.rights.holderSpringer-Verlag Berlin Heidelberg
dspace.orderedauthorsReeh, Sune Precht; Yalçın, Ergünen_US
dspace.embargo.termsNen
dc.identifier.orcidhttps://orcid.org/0000-0002-4913-8268
mit.licensePUBLISHER_POLICYen_US


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