Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

Erdogdu M., ÖZDEMİR M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.25, sa.4, ss.787-798, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00006-015-0543-z
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.787-798
  • Anahtar Kelimeler: Split quaternion, Dual split quaternion, MINKOWSKI 3-SPACE, SCREW MOTION, SPACE
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we present some important properties of matrices over dual split quaternions. We examine dual split quaternion matrices by their split quaternion matrix representation. Then, we give some interesting results for 2 x 2 split quaternion matrix representation of a dual split quaternion. Finally, we prove that the group and are isomorphic.