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

ÖZKALDI KARAKUŞ S., Gündoǧan H.

Advances in Applied Clifford Algebras, cilt.20, sa.2, ss.367-377, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s00006-009-0148-5
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.367-377
  • Anahtar Kelimeler: Cayley formula, Lorentzian matrix multiplication, Lorentzian space, Primary 15A33, Rotation, Secondary 15A66, 53A17, 53B30, Split quaternions
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Hayır

Özet

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.