Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space
Advances in Applied Clifford Algebras, cilt.20, sa.2, ss.367-377, 2010 (SCI-Expanded, Scopus)
- 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.