Wednesday, December 12, 2012

1212.2536 (Pushpa et al.)

Octonion and Split Octonion Representation of SO(8) Symmetry    [PDF]

Pushpa, P. S. Bisht, Tianjun Li, O. P. S. Negi
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.
View original: http://arxiv.org/abs/1212.2536

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