dc.contributor.author | Yalçın, Ergün | |
dc.contributor.author | Reeh, Sune Nikolaj Precht | |
dc.date.accessioned | 2018-03-27T13:35:53Z | |
dc.date.available | 2018-03-27T13:35:53Z | |
dc.date.issued | 2017-05 | |
dc.identifier.issn | 0025-5874 | |
dc.identifier.issn | 1432-1823 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/114302 | |
dc.description.abstract | We 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.sponsorship | Danish Council for Independent Research (DFF–4002-00224) | en_US |
dc.publisher | Springer Berlin Heidelberg | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1007/s00209-017-1898-8 | en_US |
dc.rights | Article 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.source | Springer Berlin Heidelberg | en_US |
dc.title | Representation rings for fusion systems and dimension functions | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Reeh, 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.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Reeh, Sune Nikolaj Precht | |
dc.relation.journal | Mathematische Zeitschrift | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2018-03-14T04:57:47Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | Springer-Verlag Berlin Heidelberg | |
dspace.orderedauthors | Reeh, Sune Precht; Yalçın, Ergün | en_US |
dspace.embargo.terms | N | en |
dc.identifier.orcid | https://orcid.org/0000-0002-4913-8268 | |
mit.license | PUBLISHER_POLICY | en_US |