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arXiv · 1212.2536

Octonion and Split Octonion Representation of SO(8) Symmetry

Pushpa·P. S. Bisht·Tianjun Li·O. P. S. Negi
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Abstract

The 8 $\times$ 8 matrix representation of SO(8) Symmetry has been defined by using the direct product of Pauli matrices and Gamma matrices. These 8 $\times$ 8 matrices are being used to describe the rotations in SO(8) symmetry. The comparison of 8$\times$8 matrices with octonions has also been shown. The transformations of SO(8) symmetry are represented with the help of Octonions and split Octonions spinors.

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Pushpa, P. S. Bisht, Tianjun Li, O. P. S. Negi. 2012-12-11. Octonion and Split Octonion Representation of SO(8) Symmetry. https://arxiv.org/abs/1212.2536

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