Coverings and actions of structured Lie groupoids

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dc.contributor.authorGursoy, M.H.
dc.contributor.authorIcen, I.
dc.contributor.authorOzcan, A.F.
dc.date.accessioned2019-09-18T10:20:13Z
dc.date.available2019-09-18T10:20:13Z
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(π1M) of the coverings of structured Lie groupoid π1M, where it is assumed that π1M 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.citationGursoy, M.H. Icen, I. Ozcan, A.F. (2016). Coverings and actions of structured Lie groupoids. Cilt:2. Sayı:F2. 661-679 ss.en_US
dc.identifier.endpage679en_US
dc.identifier.issueF2en_US
dc.identifier.startpage661en_US
dc.identifier.urihttps://hdl.handle.net/11616/14119
dc.identifier.volume2en_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.rightsinfo:eu-repo/semantics/restrictedAccessen_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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