A binary encoding of spinors and applications

Author:

Arizmendi Gerardo1,Herrera Rafael2

Affiliation:

1. Department of Actuarial Sciences, Physics and Mathematics, UDLAP, San Andrés Cholula, Puebla, México

2. Centro de Investigación en Matemáticas, A. P. 402, 36000 Guanajuato, Guanajuato, México

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

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