Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

被引：0

作者：

Ozen, Kahraman Esen ^{[1
]}

Tosun, Murat ^{[1
]}

机构：

[1] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkey

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2018年 / 11卷 / 02期

关键词：

Complex quaternions; Hamilton matrices; Matrix representations; Elliptic biquaternions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：96 / 103

页数：8

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