On Powers and Roots of Split Octonions
On Powers and Roots of Split Octonions
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 <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><msup><mrow><mi>n</mi></mrow><mrow><mi>t</mi><mi>h</mi></mrow></msup><mo>−</mo></math> powers and roots of split octonions and the matrix representation of split octonions. In addition, we present …