A binary encoding of spinors and applications

被引：0

作者：

Arizmendi, Gerardo ^{[1
]}

Herrera, Rafael ^{[1
]}

机构：

[1] Univ Americas Puebla, Dept Actuarial Sci Phys & Math, Cholula, Mexico

来源：

COMPLEX MANIFOLDS | 2020年 / 7卷 / 01期

关键词：

Spin representation; Clifford algebras; Spinor representation; octonions; triality; VECTOR-FIELDS;

D O I：

10.1515/coma-2020-0100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 spin(8), spin(7) and g(2), etc.

引用

页码：162 / 193

页数：32

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