De-moivre's formula for matrices of quaternions

Jafari M., Mortazaasl H., YAYLI Y.

JP Journal of Algebra, Number Theory and Applications, cilt.21, sa.1, ss.57-67, 2011 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2011
  • Dergi Adı: JP Journal of Algebra, Number Theory and Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.57-67
  • Anahtar Kelimeler: De-moivre's formula, Hamilton operator, Quaternion
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, the Euler's and De-Moivre's formulas for the matrices associated with quaternions are studied. It is shown that as the De- Moivre's formula implies, there are uncountably many matrices of unit quaternion satisfying An = I4 for n ≥ 3. © 2011 Pushpa Publishing House.