Cohomologies and generalized derivation extensions of n-Lie algebras

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dc.authorid0000-0001-8754-6927
dc.authorid0000-0002-6766-0287
dc.authorid0000-0003-0925-8668
dc.contributor.authorAteşli, Begümen_US
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2025-10-06T10:14:13Z
dc.date.available2025-10-06T10:14:13Z
dc.date.issued2021-04-18
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.abstractA cohomology theory, associated to a n-Lie algebra and a representation space of it, is introduced. It is observed that this cohomology theory is qualified to encode the generalized derivation extensions, and that it coincides, for n = 3, with the known cohomology of n-Lie algebras. The abelian extensions and infinitesimal deformations of n-Lie algebras, on the other hand, are shown to be characterized by the usual cohomology of n-Lie algebras. Furthermore, the Hochschild-Serre spectral sequence of the Lie algebra cohomology is upgraded to the level of n-Lie algebras, and is applied to the cohomology of generalized derivation extensions.en_US
dc.description.versionPreprint's Versionen_US
dc.identifier.citationAteşli, B., Esen, O. & Sütlü, S. (2021). Cohomologies and generalized derivation extensions of n-Lie algebras. Arxiv, 1-30. doi: https://doi.org/10.48550/arXiv.2104.08871en_US
dc.identifier.endpage30
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/6743
dc.identifier.urihttps://doi.org/10.48550/arXiv.2104.08871
dc.identifier.wosPPRN:11803468
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPreprint Citation Indexen_US
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.publisherCornell Univen_US
dc.relation.ispartofArxiven_US
dc.relation.publicationcategoryÖn Baskı - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleCohomologies and generalized derivation extensions of n-Lie algebrasen_US
dc.typePreprinten_US
dspace.entity.typePublicationen_US

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