Bicocycle double cross constructions

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dc.authorid0000-0002-6766-0287
dc.authorid0000-0001-7294-9678
dc.authorid0000-0003-0925-8668
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorGuha, Parthaen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2022-10-24T19:43:27Z
dc.date.available2022-10-24T19:43:27Z
dc.date.issued2023-12-01
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractWe introduce the notion of a bicocycle double cross product (sum) Lie group (algebra), and a bicocycle double cross product bialgebra, generalizing the unified products. On the level of Lie groups the construction yields a Lie group on the product space of two pointed manifolds, none of which being necessarily a subgroup. On the level of Lie algebras, a Lie algebra is obtained on the direct sum of two vector spaces, which are not required to be subalgebras. Finally, on the quantum level a bialgebra is obtained on the tensor product of two (co)algebras that are not necessarily sub-bialgebras.en_US
dc.identifier.citationEsen, O., Guha, P. & Sütlü, S. (2022). Bicocycle double cross constructions. Journal of Algebra and its Applications, 22(12), 1-32. doi:10.1142/S0219498823502547en_US
dc.identifier.doi10.1142/S0219498823502547
dc.identifier.endpage32
dc.identifier.issn0219-4988
dc.identifier.issn1793-6829
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85139064135
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/5074
dc.identifier.urihttp://dx.doi.org/10.1142/S0219498823502547
dc.identifier.volume22
dc.identifier.wosWOS:000853130900002
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.publisherWorld Scientificen_US
dc.relation.ispartofJournal of Algebra and its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDouble cross product bialgebrasen_US
dc.subjectDouble cross product Lie groupsen_US
dc.subjectDouble cross sum Lie algebrasen_US
dc.subjectUnified producten_US
dc.subjectMatched pairsen_US
dc.subjectHopf-algebrasen_US
dc.subjectExtending structuresen_US
dc.subjectProduct bialgebrasen_US
dc.subjectLie-groupsen_US
dc.titleBicocycle double cross constructionsen_US
dc.typeArticleen_US

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