In this study, we investigate the matrices over the new extension of the real numbers in four dimensional space E2^4
called the hybrid numbers. Since the hybrid multiplication is noncommutative, this leads to finding a linear
transformation on the complex field. Thus we characterize the hybrid matrices and examine their algebraic properties with respect to their complex adjoint matrices. Moreover, we define the co-determinant of hybrid matrices which plays an important role to construct the Lie groups.
Complex numbers Dual numbers Hyberbolic numbers Hybrid numbers Hypercomplex numbers Complex matrices Hybrid matrices
Birincil Dil | İngilizce |
---|---|
Konular | Cebirsel ve Diferansiyel Geometri, Reel ve Kompleks Fonksiyonlar |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 15 Ekim 2023 |
Gönderilme Tarihi | 24 Temmuz 2023 |
Kabul Tarihi | 8 Ekim 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 6 Sayı: 3-Supplement |