Clifford Product and Lorentzian Plane Displacements In 3-Dimensional Lorentzian Space
Yükleniyor...
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Clifford algebra, Lorentzian space, split quaternion
Kaynak
Advances In Applied Clifford Algebras
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
19
Sayı
1
Künye
closedAccess
