A binary encoding of spinors and applications

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2019-05-25 DOI:10.1515/coma-2020-0100

Gerardo Arizmendi, R. Herrera

引用次数: 0

Abstract

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.

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旋量的二进制编码及其应用

摘要我们提出了一个使用非负整数及其二进制表达式的旋量和Clifford乘法的二进制代码，该代码可以很容易地在计算机程序中实现，用于显式计算。作为应用，我们给出了Spin（8）的三态自同构的显式描述，李代数的显式表示𝔰𝔭𝔦𝔶 （8），𝔰𝔭𝔦𝔶 （7）以及𝔤2等。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.