On Powers and Roots of Split Octonions

Mücahit Akbıyık and Gaetano Luciano

Journal of Mathematics, 2023, vol. 2023, 1-25

Abstract: In this article, we obtain the polar forms for two types of split octonions. We calculate De Moivre’s formulas for all polar forms of split octonions. Thus, we give the nth− powers and roots of split octonions and the matrix representation of split octonions. In addition, we present an illustrative example with Matlab codes.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4500295

DOI: 10.1155/2023/4500295

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