A binary encoding of spinors and applications

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), explic...

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Autores principales:	Arizmendi Gerardo, Herrera Rafael
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2020
Materias:	spin representation clifford algebras spinor representation octonions triality 15a66 15a69 53c27 17b10 17b25 20g41 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b383e5f12be849d6be3bd113c1a84024
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spelling	oai:doaj.org-article:b383e5f12be849d6be3bd113c1a840242021-12-02T16:36:59ZA binary encoding of spinors and applications2300-744310.1515/coma-2020-0100https://doaj.org/article/b383e5f12be849d6be3bd113c1a840242020-08-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0100https://doaj.org/toc/2300-7443We 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.Arizmendi GerardoHerrera RafaelDe Gruyterarticlespin representationclifford algebrasspinor representationoctonionstriality15a6615a6953c2717b1017b2520g41MathematicsQA1-939ENComplex Manifolds, Vol 7, Iss 1, Pp 162-193 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	spin representation clifford algebras spinor representation octonions triality 15a66 15a69 53c27 17b10 17b25 20g41 Mathematics QA1-939
spellingShingle	spin representation clifford algebras spinor representation octonions triality 15a66 15a69 53c27 17b10 17b25 20g41 Mathematics QA1-939 Arizmendi Gerardo Herrera Rafael A binary encoding of spinors and applications
description	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.
format	article
author	Arizmendi Gerardo Herrera Rafael
author_facet	Arizmendi Gerardo Herrera Rafael
author_sort	Arizmendi Gerardo
title	A binary encoding of spinors and applications
title_short	A binary encoding of spinors and applications
title_full	A binary encoding of spinors and applications
title_fullStr	A binary encoding of spinors and applications
title_full_unstemmed	A binary encoding of spinors and applications
title_sort	binary encoding of spinors and applications
publisher	De Gruyter
publishDate	2020
url	https://doaj.org/article/b383e5f12be849d6be3bd113c1a84024
work_keys_str_mv	AT arizmendigerardo abinaryencodingofspinorsandapplications AT herrerarafael abinaryencodingofspinorsandapplications AT arizmendigerardo binaryencodingofspinorsandapplications AT herrerarafael binaryencodingofspinorsandapplications
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A binary encoding of spinors and applications

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