[PDF] On the 256-dimensional gamma matrix representation of the Clifford algebra Cl(1,7) and its relation to the Lie algebra SO(1,9) | Semantic Scholar

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Corpus ID: 239616439

On the 256-dimensional gamma matrix representation of the Clifford algebra Cl(1,7) and its relation to the Lie algebra SO(1,9)

@inproceedings{Simulik2021OnT2,
title={On the 256-dimensional gamma matrix representation of the Clifford algebra Cl(1,7) and its relation to the Lie algebra SO(1,9)},
author={Volodimir Simulik},
year={2021}
}

The 256-dimensional representations of the Clifford algebras Cl(0,8) and Cl(1,7) in the terms of 8 × 8 Dirac γ matrices are introduced. The corresponding gamma matrix representations of 45-dimensional SO(10) and SO(1,9) algebras, which contain the standard and additional spin operators, are introduced as well. The SO(10), SO(1,9) and corresponding Clifford algebras Cl(0,8), Cl(1,7) are determined as the algebras over the field of real numbers in the space of 8-component spinors. The… Expand