A binary encoding of spinors and applications

@article{Arizmendi2020ABE,
  title={A binary encoding of spinors and applications},
  author={Gerardo Arizmendi and Rafael Herrera},
  journal={Complex Manifolds},
  year={2020},
  volume={7},
  pages={162 - 193}
}
Abstract We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for explicit calculations. As applications, we present explicit descriptions of the triality automorphism of Spin(8), explicit representations of the Lie algebras 𝔰𝔭𝔦𝔢 (8), 𝔰𝔭𝔦𝔢 (7) and 𝔀2, etc.Β 

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