Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

Year 2018, Volume: 11 Issue: 2, 96 - 103, 30.11.2018

Kahraman Esen Özen Murat Tosun

https://doi.org/10.36890/iejg.545136

Cited By: 7

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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