Lie algebra classification for the Chazy equation and further topics related with this algebra.

It is known that the classification of the Lie algebras is a classical problem. Due to Levi’s Theorem the question can be reduced to the classification of semi-simple and solvable Lie algebras. This paper is devoted to classify the Lie algebra generated by the Lie symmetry group of the Chazy equatio...

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Autores principales:	Yeisson Alexis Acevedo-Agudelo, Danilo Andrés García-Hernández, Oscar Mario Londoño-Duque, Gabriel Ignacio Loaiza-Ossa
Formato:	article
Lenguaje:	EN ES PT
Publicado:	Politécnico Colombiano Jaime Isaza Cadavid 2021
Materias:	ecuación de chazy simetrías de lie clasificación del grupo de simetrías de lie álgebra de lie grupo a un parámetro Technology T Science Q
Acceso en línea:	https://doaj.org/article/f1a7cf507212475a90de6e7cc2758730
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id	oai:doaj.org-article:f1a7cf507212475a90de6e7cc2758730
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spelling	oai:doaj.org-article:f1a7cf507212475a90de6e7cc27587302021-12-02T23:42:25ZLie algebra classification for the Chazy equation and further topics related with this algebra.10.33571/rpolitec.v17n34a71900-23512256-5353https://doaj.org/article/f1a7cf507212475a90de6e7cc27587302021-11-01T00:00:00Zhttps://revistas.elpoli.edu.co/index.php/pol/article/view/1912https://doaj.org/toc/1900-2351https://doaj.org/toc/2256-5353It is known that the classification of the Lie algebras is a classical problem. Due to Levi’s Theorem the question can be reduced to the classification of semi-simple and solvable Lie algebras. This paper is devoted to classify the Lie algebra generated by the Lie symmetry group of the Chazy equation. We also present explicitly the one parame-ter subgroup related to the infinitesimal generators of the Chazy symmetry group. Moreover the classification of the Lie algebra associated to the optimal system is investigated.Yeisson Alexis Acevedo-AgudeloDanilo Andrés García-HernándezOscar Mario Londoño-DuqueGabriel Ignacio Loaiza-OssaPolitécnico Colombiano Jaime Isaza Cadavidarticleecuación de chazysimetrías de lieclasificación del grupo de simetrías de lieálgebra de liegrupo a un parámetroTechnologyTScienceQENESPTRevista Politécnica, Vol 17, Iss 34, Pp 101-109 (2021)
institution	DOAJ
collection	DOAJ
language	EN ES PT
topic	ecuación de chazy simetrías de lie clasificación del grupo de simetrías de lie álgebra de lie grupo a un parámetro Technology T Science Q
spellingShingle	ecuación de chazy simetrías de lie clasificación del grupo de simetrías de lie álgebra de lie grupo a un parámetro Technology T Science Q Yeisson Alexis Acevedo-Agudelo Danilo Andrés García-Hernández Oscar Mario Londoño-Duque Gabriel Ignacio Loaiza-Ossa Lie algebra classification for the Chazy equation and further topics related with this algebra.
description	It is known that the classification of the Lie algebras is a classical problem. Due to Levi’s Theorem the question can be reduced to the classification of semi-simple and solvable Lie algebras. This paper is devoted to classify the Lie algebra generated by the Lie symmetry group of the Chazy equation. We also present explicitly the one parame-ter subgroup related to the infinitesimal generators of the Chazy symmetry group. Moreover the classification of the Lie algebra associated to the optimal system is investigated.
format	article
author	Yeisson Alexis Acevedo-Agudelo Danilo Andrés García-Hernández Oscar Mario Londoño-Duque Gabriel Ignacio Loaiza-Ossa
author_facet	Yeisson Alexis Acevedo-Agudelo Danilo Andrés García-Hernández Oscar Mario Londoño-Duque Gabriel Ignacio Loaiza-Ossa
author_sort	Yeisson Alexis Acevedo-Agudelo
title	Lie algebra classification for the Chazy equation and further topics related with this algebra.
title_short	Lie algebra classification for the Chazy equation and further topics related with this algebra.
title_full	Lie algebra classification for the Chazy equation and further topics related with this algebra.
title_fullStr	Lie algebra classification for the Chazy equation and further topics related with this algebra.
title_full_unstemmed	Lie algebra classification for the Chazy equation and further topics related with this algebra.
title_sort	lie algebra classification for the chazy equation and further topics related with this algebra.
publisher	Politécnico Colombiano Jaime Isaza Cadavid
publishDate	2021
url	https://doaj.org/article/f1a7cf507212475a90de6e7cc2758730
work_keys_str_mv	AT yeissonalexisacevedoagudelo liealgebraclassificationforthechazyequationandfurthertopicsrelatedwiththisalgebra AT daniloandresgarciahernandez liealgebraclassificationforthechazyequationandfurthertopicsrelatedwiththisalgebra AT oscarmariolondonoduque liealgebraclassificationforthechazyequationandfurthertopicsrelatedwiththisalgebra AT gabrielignacioloaizaossa liealgebraclassificationforthechazyequationandfurthertopicsrelatedwiththisalgebra
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Lie algebra classification for the Chazy equation and further topics related with this algebra.

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