Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

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International Electronic Journal of Geometry
Volume:11 Issue:2
Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

Authors : Kahraman Esen ÖZEN, Murat TOSUN

Pages : 96-103

Doi:10.36890/iejg.545136

View : 40 | Download : 11

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

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