Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space

ÖZKALDI KARAKUŞ S., Gündoǧan H.

Advances in Applied Clifford Algebras, vol.20, no.2, pp.367-377, 2010 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1007/s00006-009-0148-5
  • Journal Name: Advances in Applied Clifford Algebras
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.367-377
  • Keywords: Cayley formula, Lorentzian matrix multiplication, Lorentzian space, Primary 15A33, Rotation, Secondary 15A66, 53A17, 53B30, Split quaternions
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

In this study, by using Lorentzian matrix multiplication, Cayley formula and Euler parameters of a Lorentzian orthogonal matrix are obtained in Lorentz space L3. Then, by using Euler parameters of a rotation in a split quaternion, the split quaternion equation of a rotation movement is obtained in the space L3. © 2009 Birkhäuser / Springer Basel AG, Switzerland.