Cayley formula in Minkowski space-time

dc.contributor.authorErdogdu, Melek
dc.contributor.authorOzdemir, Mustafa
dc.date.accessioned2024-02-23T14:26:26Z
dc.date.available2024-02-23T14:26:26Z
dc.date.issued2015
dc.departmentNEÜen_US
dc.description.abstractIn this paper, Cayley formula is derived for 4 x 4 semi-skew-symmetric real matrices in E-1(4). For this purpose, we use the decomposition of a semi-skew-symmetric matrix A = theta(1)A(1) + theta(2)A(2) by two unique semi-skew-symmetric matrices A(1) and A(2) satisfying the properties A(1)A(2) = 0, A(1)(3) = A(1) and A(2)(3) = -A(2). Then, we find Lorentzian rotation matrices with semi-skew-symmetric matrices by Cayley formula. Furthermore, we give a way to find the semi-skew-symmetric matrix A for a given Lorentzian rotation matrix R such that R = Cay(A).en_US
dc.identifier.doi10.1142/S0219887815500589
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-84929959889en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0219887815500589
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14181
dc.identifier.volume12en_US
dc.identifier.wosWOS:000355323900007en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal Of Geometric Methods In Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMinkowski Space-Timeen_US
dc.subjectRotation Matrixen_US
dc.subjectCayley Formulaen_US
dc.titleCayley formula in Minkowski space-timeen_US
dc.typeArticleen_US

Dosyalar