Clifford Product and Lorentzian Plane Displacements In 3-Dimensional Lorentzian Space

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dc.contributor.authorGündogan, Halit
dc.contributor.authorÖzkaldı, Sıddıka
dc.date.accessioned2020-06-25T17:48:38Z
dc.date.available2020-06-25T17:48:38Z
dc.date.issued2009
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, by defining Clifford algebra product in 3-dimensional Lorentz space, L (3), it is shown that even Clifford algebra of L (3) corresponds to split quaternion algebra. Then, by using Lorentzian matrix multiplication, pole point of planar displacement in Lorentz plane L (2) is obtained. In addition, by defining degenerate Lorentz scalar product for L (3) and by using the components of pole points of Lorentz plane displacement in particular split hypercomplex numbers, it is shown that the Lorentzian planar displacements can be represented as a special split quaternion which we call it Lorentzian planar split quaternion.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s00006-008-0124-5
dc.identifier.endpage50en_US
dc.identifier.issn0188-7009
dc.identifier.issn1661-4909
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-59449098308
dc.identifier.scopusqualityQ3
dc.identifier.startpage43en_US
dc.identifier.urihttps://doi.org/10.1007/s00006-008-0124-5
dc.identifier.urihttps://hdl.handle.net/20.500.12587/4515
dc.identifier.volume19en_US
dc.identifier.wosWOS:000263001400004
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofAdvances In Applied Clifford Algebras
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectClifford algebraen_US
dc.subjectLorentzian spaceen_US
dc.subjectsplit quaternionen_US
dc.titleClifford Product and Lorentzian Plane Displacements In 3-Dimensional Lorentzian Spaceen_US
dc.typeArticle

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