Coverings and actions of structured Lie groupoids

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dc.authorscopusid12799871100
dc.authorscopusid6508225030
dc.authorscopusid12799423800
dc.contributor.authorGursoy M.H.
dc.contributor.authorIcen I.
dc.contributor.authorOzcan A.F.
dc.date.accessioned2024-08-04T20:00:52Z
dc.date.available2024-08-04T20:00:52Z
dc.date.issued2016
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this work we deal with coverings and actions of Lie group-groupoids and Lie ring-groupoids being two sorts of the structured Lie groupoids. After we give definition of a structured Lie groupoid, we prove some characterizations of structured Lie groupoids. Then, we present the concept of covering of a structured Lie groupoid. As first main result of this work, we show that the category LSCov(M) of the smooth coverings of Lie group M is equivalent to the category SLGCov(?1M) of the coverings of structured Lie groupoid ?1M, where it is assumed that ?1M is a Lie group-groupoid, specially. Furthermore, we define an action of a structured Lie groupoid on a connected Lie structure. Finally, we show that the category SLGCov(G) of the coverings of a structured Lie groupoid G and the category SLGOp(G) of the actions of G on Lie structures (group or ring) are equivalent. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.en_US
dc.identifier.endpage679en_US
dc.identifier.issn1221-8421
dc.identifier.issueF2en_US
dc.identifier.scopus2-s2.0-85013665446en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage661en_US
dc.identifier.urihttps://hdl.handle.net/11616/91042
dc.identifier.volume2en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniversitatii Al.I.Cuza din Iasien_US
dc.relation.ispartofAnalele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectActionen_US
dc.subjectCoveringen_US
dc.subjectLie groupoiden_US
dc.titleCoverings and actions of structured Lie groupoidsen_US
dc.typeArticleen_US

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