Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

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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