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Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients

dc.contributor.authorRangipour, Bahramen_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.contributor.authorAliabadi, F. Yazdanien_US
dc.date.accessioned2018-12-06T04:25:58Z
dc.date.available2018-12-06T04:25:58Z
dc.date.issued2018-12-01
dc.identifier.citationRangipour, B., Sütlü, S. & Aliabadi, F. Y. (2018). Hopf-cyclic cohomology of the Connes–Moscovici hopf algebras with infinite dimensional coefficients. Journal of Homotopy and Related Structures, 13(4), 927-969. doi:10.1007/s40062-018-0205-7en_US
dc.identifier.issn2193-8407
dc.identifier.issn1512-2891
dc.identifier.urihttps://hdl.handle.net/11729/1397
dc.identifier.urihttp://dx.doi.org/10.1007/s40062-018-0205-7
dc.description.abstractWe discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of Hn, and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of Hn to the Gelfand-Fuks cohomology of the Lie algebra Wn of formal vector fields on Rn respects this multiplicative structure. We then illustrate the machinery for n = 1.en_US
dc.language.isoengen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.isversionof10.1007/s40062-018-0205-7
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHopf-cyclic cohomologyen_US
dc.subjectConnes-Moscovici Hopf algebrasen_US
dc.subjectGelfand-Fuks cohomologyen_US
dc.subjectCharacteristic classesen_US
dc.subjectQuantum groupsen_US
dc.subjectNoncommutative geometryen_US
dc.subjectBicrossproduct structureen_US
dc.subjectLie-algebraen_US
dc.subjectHomologyen_US
dc.subjectModulesen_US
dc.subjectConstructionen_US
dc.titleHopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficientsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalJournal Of Homotopy And Related Structuresen_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.volume13en_US
dc.identifier.issue4
dc.identifier.startpage927
dc.identifier.endpage969
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.qualityQ4
dc.description.wosidWOS:000448980700008


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