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dc.contributor.authorBilge, Ayşe Hümeyra
dc.contributor.authorDereli, Tekin
dc.contributor.authorKoçak, Şahin
dc.date.accessioned2021-02-13T18:57:38Z
dc.date.available2021-02-13T18:57:38Z
dc.date.issued2011
dc.identifier.issn0024-3795
dc.identifier.urihttps://doi.org/10.1016/j.laa.2010.11.002en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12469/3908
dc.description.abstractThe notion of self-duality of 2-forms in 4-dimensions plays an eminent role in many areas of mathematics and physics, but although the 2-forms have a genuine meaning related to curvature and gauge-field-strength in higher dimensions also, their "self-duality" is something which is almost avoided above 4-dimensions. We show that self-duality of 2-forms is a very natural notion in higher (even) dimensions also and we prove the equivalence of some scattered and rarely used definitions in the literature. We demonstrate the usefulness of this higher self-duality by studying it in 8-dimensions and we derive a natural expression for the Bonan form in terms of self-dual 2-forms and we give an explicit expression of the local action of SO(8) on the Bonan form. (C) 2010 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipTubitak Turkish Academy of Sciencesen_US
dc.language.isoEnglishen_US
dc.publisherElsevier Science Incen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBonan formen_US
dc.subjectSelf-duality Eight manifoldsen_US
dc.titleMaximal linear subspaces of strong self-dual 2-forms and the Bonan 4-formen_US
dc.typeArticleen_US
dc.identifier.startpage1200en_US
dc.identifier.endpage1214en_US
dc.relation.journalLinear Algebra and Its Applicationsen_US
dc.identifier.issue5en_US
dc.identifier.volume434en_US
dc.identifier.wosWOS:000286720700002en_US
dc.identifier.doi10.1016/j.laa.2010.11.002en_US
dc.contributor.khasauthorBilge, Ayşe Hümeyraen_US


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