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

Abstract

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.

Keywords

• ecuación de chazy
• simetrías de lie
• clasificación del grupo de simetrías de lie
• álgebra de lie
• grupo a un parámetro