Involutions of Complexified Quaternions and Split Quaternions

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dc.contributor.authorBekar, Murat
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2024-02-23T13:43:27Z
dc.date.available2024-02-23T13:43:27Z
dc.date.issued2013
dc.departmentNEÜen_US
dc.description.abstractAn involution or anti-involution is a self-inverse linear mapping. Involutions and anti-involutions of real quaternions were studied by Ell and Sangwine [15]. In this paper we present involutions and antiinvolutions of biquaternions (complexified quaternions) and split quaternions. In addition, while only quaternion conjugate can be defined for a real quaternion and split quaternion, also complex conjugate can be defined for a biquaternion. Therefore, complex conjugate of a biquaternion is used in some transformations beside quaternion conjugate in order to check whether involution or anti-involution axioms are being satisfied or not by these transformations. Finally, geometric interpretations of real quaternion, biquaternion and split quaternion involutions and anti-involutions are given.en_US
dc.identifier.doi10.1007/s00006-012-0376-y
dc.identifier.endpage299en_US
dc.identifier.issn0188-7009
dc.identifier.issn1661-4909
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84878107492en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage283en_US
dc.identifier.urihttps://doi.org/10.1007/s00006-012-0376-y
dc.identifier.urihttps://hdl.handle.net/20.500.12452/10812
dc.identifier.volume23en_US
dc.identifier.wosWOS:000319165000001en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofAdvances In Applied Clifford Algebrasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectReal Quaternionsen_US
dc.subjectBiquaternions (Complexified Quaternions)en_US
dc.subjectSplit Quaternionsen_US
dc.subjectInvolutionsen_US
dc.subjectAnti-Involutionsen_US
dc.titleInvolutions of Complexified Quaternions and Split Quaternionsen_US
dc.typeArticleen_US

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