A characteristic map for compact quantum groups

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dc.authorid0000-0002-9672-6660
dc.authorid0000-0003-0925-8668
dc.contributor.authorKaygun, Atabeyen_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.date.accessioned2018-06-20T13:00:28Z
dc.date.available2018-06-20T13:00:28Z
dc.date.issued2017-09
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra O(G(q)). We also show that the Schmudgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podles sphere O(S-q(2)) is in the image of this map.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationKaygun, A. & Sütlü, S. S. (2017). A characteristic map for compact quantum groups. Journal of Homotopy and Related Structures, 12(3), 549-576. doi:10.1007/s40062-016-0138-yen_US
dc.identifier.doi10.1007/s40062-016-0138-y
dc.identifier.endpage576
dc.identifier.issn2193-8407
dc.identifier.issn1512-2891
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85028604959
dc.identifier.scopusqualityQ2
dc.identifier.startpage549
dc.identifier.urihttps://hdl.handle.net/11729/1312
dc.identifier.urihttp://dx.doi.org/10.1007/s40062-016-0138-y
dc.identifier.volume12
dc.identifier.wosWOS:000408700500002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkan Selçuken_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofJournal Of Homotopy And Related Structuresen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCompact quantum group algebraen_US
dc.subjectCharacteristic mapen_US
dc.subjectCyclic cohomologyen_US
dc.subjectHopf-cyclic cohomologyen_US
dc.subjectCup productsen_US
dc.subjectHomologyen_US
dc.subjectAlgebrasen_US
dc.subjectModulesen_US
dc.subjectSpheresen_US
dc.subjectTheoremen_US
dc.titleA characteristic map for compact quantum groupsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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