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

被引：6

作者：

Gundogan, Halit ^{[1
]}

Ozkaldi, Siddika ^{[1
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2009年 / 19卷 / 01期

关键词：

Clifford algebra; Lorentzian space; split quaternion;

D O I：

10.1007/s00006-008-0124-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：43 / 50

页数：8

共 8 条

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