Topological Hopf algebras and their Hopf-cyclic cohomology

Basit Öğe Kaydı
dc.authorid0000-0003-0925-8668
dc.contributor.authorRangipour, Bahramen_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.date.accessioned2019-05-08T00:28:34Z
dc.date.available2019-05-08T00:28:34Z
dc.date.issued2019-01-29
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractA natural extension of the Hopf-cyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the category of coefficients (AYD modules) over a topological Lie algebra and those over its universal enveloping (Hopf) algebra are isomorphic. For topological Hopf algebras, the category of coefficients is identified with the representation category of a topological algebra called the anti-Drinfeld double. Finally, a topological van Est type isomorphism is detailed, connecting the Hopf-cyclic cohomology to the relative Lie algebra cohomology with respect to a maximal compact subalgebra.en_US
dc.description.sponsorshipB.R. would like to thank the Hausdorff Institute in Bonn for its hospitality and support during the time this work was in progressen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationRangipour, B. & Sütlü, S. S. (2019). Topological hopf algebras and their hopf-cyclic cohomology. Communications in Algebra, 47(4), 1490-1515. doi:10.1080/00927872.2018.1508581en_US
dc.identifier.doi10.1080/00927872.2018.1508581
dc.identifier.endpage1515
dc.identifier.issn0092-7872
dc.identifier.issn1532-4125
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85060861020
dc.identifier.scopusqualityQ2
dc.identifier.startpage1490
dc.identifier.urihttps://hdl.handle.net/11729/1587
dc.identifier.urihttp://dx.doi.org/10.1080/00927872.2018.1508581
dc.identifier.volume47
dc.identifier.wosWOS:000474696700008
dc.identifier.wosqualityQ3
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.publisherTaylor and Francisen_US
dc.relation.ispartofCommunications in Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHopf-cyclic cohomologyen_US
dc.subjectInfinite dimensional Lie algebrasen_US
dc.subjectTopological Hopf algebrasen_US
dc.subject19D55en_US
dc.subject16S40en_US
dc.subject57T05en_US
dc.subjectQuantum groupsen_US
dc.subjectCo-homologyen_US
dc.subjectCyclic homologyen_US
dc.subjectCyclic cohomologyen_US
dc.subjectAlgebraen_US
dc.titleTopological Hopf algebras and their Hopf-cyclic cohomologyen_US
dc.typeArticleen_US
dspace.entity.typePublication

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