3-Parameter Generalized Quaternions
Yazarlar (2)
Tuncay Deniz Şentürk Göl Anatolian Highschool, Türkiye
Doç. Dr. Zafer ÜNAL Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Computational Methods and Function Theory (Q1) | ||
| Dergi ISSN | 1617-9447 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2022 |
| Kabul Tarihi | 03-08-2021 | Yayınlanma Tarihi | 25-05-2022 |
| Cilt / Sayı / Sayfa | 22 / 3 / 575–608 | DOI | 10.1007/s40315-022-00451-7 |
| Makale Linki | https://link.springer.com/article/10.1007/s40315-022-00451-7 | ||
| 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 |
| Atıf Sayıları | |
| Web of Science | 8 |
| Scopus | 8 |
| Google Scholar | 29 |