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Orthogonal representation of complex numbers
Ефремов А.П. (Yefremov A.P.) Orthogonal representation of complex numbers // Gravitation and Cosmology. 2010. 16(2): 137-139. doi: 10.1134/S0202289310020064

Категории: Исследование, Авторский указатель

Orthogonal representation of complex numbers
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Аннотация

Units of the complex numbers algebra given by 2 × 2 matrices are shown to be composed of elementary spinors. This leads to a novel representation of any complex number in a two-dimensional orthogonal form, each direction referred to an idempotent matrix built of the spinors’ components. Introduction of a “diagonal operator,” a poly-index generalization of the Kronecker symbol, allows establishing equivalence of idempotent matrices and a vector description of the orthogonal axes.

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