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Hopf-cyclic cohomology of quantum enveloping algebras

dc.contributor.authorKaygun, Atabeyen_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.date.accessioned2016-08-11T17:59:19Z
dc.date.available2016-08-11T17:59:19Z
dc.date.issued2016
dc.identifier.citationKaygun, A. & Sütlü, S. S. (2016). Hopf-cyclic cohomology of quantum enveloping algebras. Journal of Noncommutative Geometry, 10(2), 429-446. doi:10.4171/JNCG/238en_US
dc.identifier.issn1661-6952
dc.identifier.issn1661-6960
dc.identifier.urihttps://hdl.handle.net/11729/1114
dc.identifier.urihttp://dx.doi.org/10.4171/JNCG/238
dc.description.abstractIn this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra Uq.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in involution. We obtain this result by showing that the coalgebra Hochschild cohomology of these Hopf algebras are concentrated in a single degree determined by the rank of the Lie algebra g.en_US
dc.language.isoengen_US
dc.publisherEuropean Mathematical Society Publishing Houseen_US
dc.relation.isversionof10.4171/JNCG/238
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHopf-cyclic cohomologyen_US
dc.subjectNoncommutative geometryen_US
dc.subjectQuantum enveloping algebraen_US
dc.subjectQuantum groupsen_US
dc.subjectHomologyen_US
dc.subjectModulesen_US
dc.subjectCyclic homologyen_US
dc.subjectCyclic cohomologyen_US
dc.subjectAlgebraen_US
dc.titleHopf-cyclic cohomology of quantum enveloping algebrasen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalJournal of Noncommutative Geometryen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.authorID0000-0003-0925-8668
dc.identifier.volume10
dc.identifier.issue2
dc.identifier.startpage429
dc.identifier.endpage449
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorSütlü, Serkan Selçuken_US
dc.relation.indexWOSen_US
dc.relation.indexScopusen_US
dc.relation.indexScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.description.qualityQ2
dc.description.wosidWOS:000386878200002


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