Hom-Lie-Hopf algebras

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dc.authorid0000-0002-8071-0437
dc.authorid0000-0003-3652-5354
dc.authorid0000-0003-0925-8668
dc.contributor.authorHalıcı, Serpilen_US
dc.contributor.authorKarataş, Adnanen_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.date.accessioned2020-03-23T12:39:24Z
dc.date.available2020-03-23T12:39:24Z
dc.date.issued2020-07-01
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general (α,β)-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which are of (α,Id)-type. We show that the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras form a matched pair of Hom-Hopf algebras. We observe also that, the semi-dualization of a double cross product Hom-Hopf algebra is a bicrossproduct Hom-Hopf algebra. In particular, we apply this result to the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras to obtain Hom-Lie-Hopf algebras.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHalıcı, S., Karataş, A. & Sütlü, S. S. (2020). Hom-lie-hopf algebras. Journal of Algebra, 553, 26-88. doi:10.1016/j.jalgebra.2020.01.022en_US
dc.identifier.doi10.1016/j.jalgebra.2020.01.022
dc.identifier.endpage88
dc.identifier.issn0021-8693
dc.identifier.issn1090-266X
dc.identifier.scopus2-s2.0-85079836678
dc.identifier.scopusqualityQ1
dc.identifier.startpage26
dc.identifier.urihttps://hdl.handle.net/11729/2286
dc.identifier.urihttp://dx.doi.org/10.1016/j.jalgebra.2020.01.022
dc.identifier.volume553
dc.identifier.wosWOS:000522801000002
dc.identifier.wosqualityQ2
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.publisherAcademic Press Inc.en_US
dc.relation.ispartofJournal of Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAlgebraen_US
dc.subjectBicrossproducten_US
dc.subjectDouble cross producten_US
dc.subjectHom-Hopf algebrasen_US
dc.subjectHom-Lie algebrasen_US
dc.subjectLie algebraen_US
dc.subjectSplit regularen_US
dc.titleHom-Lie-Hopf algebrasen_US
dc.typeArticleen_US
dspace.entity.typePublication

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