GENERALIZED QUATERNIONS AND THEIR ALGEBRAIC PROPERTIES
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.64, sa.1, ss.15-27, 2015 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 64 Sayı: 1
- Basım Tarihi: 2015
- Doi Numarası: 10.1501/commua1_0000000724
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.15-27
- Anahtar Kelimeler: De-Moivre's formula, Generalized quaternion, Lie group
- Ankara Üniversitesi Adresli: Evet
Özet
The aim of this paper is to study the generalized quaternions, H-alpha beta, and their basic properties. H-alpha beta has a generalized inner product that allows us to identify it with four-dimensional space E-alpha beta(4). Also, it is shown that the set of all unit generalized quaternions with the group operation of quaternion multiplication is a Lie group of 3-dimension and its Lie algebra is found.