Gündogan, HalitÖzkaldı, Sıddıka2020-06-252020-06-252009closedAccess0188-70091661-4909https://doi.org/10.1007/s00006-008-0124-5https://hdl.handle.net/20.500.12587/4515In 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.eninfo:eu-repo/semantics/closedAccessClifford algebraLorentzian spacesplit quaternionArticle191435010.1007/s00006-008-0124-52-s2.0-59449098308Q3WOS:000263001400004Q4