On Complex Split Quaternion Matrices

Erdogdu M., ÖZDEMİR M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.23, sa.3, ss.625-638, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s00006-013-0399-z
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.625-638
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we present some important properties of complex split quaternions and their matrices. We also prove that any complex split quaternion has a 4 x 4 complex matrix representation. On the other hand, we give answers to the following two basic questions "If AB = I, is it true that BA = I for complex split quaternion matrices?" and "How can the inverse of a complex split quaternion matrix be found?". Finally, we give an explicit formula for the inverse of a complex split quaternion matrix by using complex matrices.