On Matrix Representations of Octonions

Hassan. S.   Ali

doi:10.37376/sjuob.v34i2.3228

On Matrix Representations of Octonions

Authors

Hassan. S. Ali

DOI:

https://doi.org/10.37376/sjuob.v34i2.3228

Keywords:

hypercomplex; quaternions; octonions; associative; alternative and division algebras

Abstract

The real Quaternions over is an associative division algebra.They can be linearly represented by 4×4 real matrices. The real Octonions over is a non –associative division algebra. They can't be represented linearly by matrices as in the case of . The point of this paper is to represent Octonions linearly by ordered pairs of two 4×4 matrices.

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Published

2021-12-23

How to Cite

Ali, H. S. . . (2021). On Matrix Representations of Octonions. The Scientific Journal of University of Benghazi, 34(2). https://doi.org/10.37376/sjuob.v34i2.3228