A geometrical interpretation of Okubo Spin group
نویسندگان
چکیده
In this work we define, for the first time, affine and projective plane over real Okubo algebra, showing a concrete geometrical interpretation of its Spin group. algebra is flexible, composition which also not unital division algebra. Even though, has been known more than 40 years, believe that time was used geometry. After all axioms geometry are verified, define as completion directly through use Veronese coordinates. We then present bijection between two constructions. Finally show geometric Spin(O) group collineations preserve axis plane.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2022
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2022.104641