On Dual Type Octonions and Their Properties

Abstract

In this study, we will define dual-type octonions by drawing inspiring from dual quaternions and Galilean geometry. Besides giving the basic properties of dual-type octonions and defining isotropic and non-isotropic dual-type octonions, we present Euler's and De Moivre's formulas for dual-type octonions. Finally, we give a matrix representation of dual-type octonions.

Keywords

• Octonions
• dual-type octonions
• Euler’s formula
• De-Moivre formula
• Galilean Geometry5

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