Birational Rowmotion on a Rectangle over a Noncommutative Ring

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dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)
dc.bibliographicCitation.volume17
dc.contributor.authorGrinberg, Darij
dc.contributor.authorRoby, Tom
dc.date.accessioned2024-10-17T05:34:10Z
dc.date.available2024-10-17T05:34:10Z
dc.date.issued2022
dc.description.abstractWe extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014. The proof uses a novel approach and is fully self-contained.
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/16966
dc.identifier.urihttps://doi.org/10.34657/15988
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfach
dc.relation.doihttps://doi.org/10.14760/OWP-2022-17
dc.relation.issn1864-7596
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.
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.
dc.subjectRowmotion
dc.subjectPosets
dc.subjectNoncommutative rings
dc.subjectSemirings
dc.subjectZamolodchikov periodicity
dc.subjectRoot systems
dc.subjectPromotion
dc.subjectTrees
dc.subjectGraded posets
dc.subjectGrassmannian
dc.subjectTropicalization
dc.subject.ddc510
dc.titleBirational Rowmotion on a Rectangle over a Noncommutative Ring
dc.typeReport
dc.typeText
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