Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

Authors : Kahraman Esen ÖZEN, Murat TOSUN

Pages : 96-103

Doi:10.36890/iejg.545136

View : 12 | Download : 3

Publication Date : 2018-11-30

Article Type : Research Paper

Abstract :In this study, we obtain the 4 x 4 elliptic matrix representations of elliptic biquaternions with the aid of the left and right Hamilton operators. Afterwards, we show that the space of 4 x 4 matrices generated by left Hamilton operator is isomorphic to the space of elliptic biquaternions. Then, we study the De-Moivre’s and Euler formulas for the matrices of this matrix space. Additionally, the powers of these matrices are obtained with the aid of the De-Moivre’s formula.
Keywords : Complex quaternions, Hamilton matrices, Matrix representations, Elliptic biquaternions