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Octonion and Split Octonion Representation of SO(8) Symmetry

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arxiv 1212.2536 v1 pith:JTIH2NAM submitted 2012-12-11 math-ph hep-phmath.MP

Pushpa , P. S. Bisht , Tianjun Li , O. P. S. Negi This is my paper · ORCID
classification math-phhep-phmath.MP
keywords matricessymmetryoctonionstimesbeenoctonionrepresentationsplit
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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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