Octonion and Split Octonion Representation of SO(8) Symmetry

preprint2012arXivOpen access

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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Octonion and Split Octonion Representation of SO(8) Symmetry

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