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arXiv · 1905.10613

A binary encoding of spinors and applications

Gerardo Arizmendi·Rafael Herrera
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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 $\mathfrak{spin}(8)$, $\mathfrak{spin}(7)$ and $\mathfrak{g}_2$, etc.

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Gerardo Arizmendi, Rafael Herrera. 2019-05-25. A binary encoding of spinors and applications. https://arxiv.org/abs/1905.10613

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