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BY 4.0 license Open Access Published by De Gruyter Open Access August 12, 2020

A binary encoding of spinors and applications

  • Gerardo Arizmendi and Rafael Herrera EMAIL logo
From the journal Complex Manifolds

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 𝔰𝔭𝔦𝔶 (8), 𝔰𝔭𝔦𝔶 (7) and 𝔤2, etc.

MSC 2010: 15A66; 15A69; 53C27; 17B10; 17B25; 20G41

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Received: 2020-04-22
Accepted: 2020-07-27
Published Online: 2020-08-12

© 2020 Gerardo Arizmendi et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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