| Yazarlar |
Tuncay Deniz Şentürk
|
Doç. Dr. Zafer ÜNAL
Kastamonu Üniversitesi, Türkiye |
| Özet |
| In this article, we give a general form of the quaternions algebra depending on 3-parameters. We define 3-parameter generalized quaternions (3PGQs) and study various properties and applications. Firstly we present the definiton, the multiplication table and algebraic properties of 3PGQs. We give matrix representation and Hamilton operators for 3PGQs. We derive the polar represenation, De Moivre’s and Euler’s formulas with the matrix representations for 3PGQs. Additionally, we derive relations between the powers of the matrices associated with 3PGQs. Finally, Lie groups and Lie algebras are studied and their matrix representations are given. Also the Lie multiplication and the Killing bilinear form are given. |
| Anahtar Kelimeler |
| 3-Parameter generalized quaternion | De Moivre’s formula | Euler formula | Lie algebra | Matrix representation of quaternions |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | COMPUTATIONAL METHODS AND FUNCTION THEORY |
| Dergi ISSN | 1617-9447 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 09-2022 |
| Cilt No | 22 |
| Sayı | 3 |
| Sayfalar | 575 / 608 |
| Doi Numarası | 10.1007/s40315-022-00451-7 |
| Makale Linki | https://link.springer.com/article/10.1007/s40315-022-00451-7 |
