Abstracto
- 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 classifying 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 with the optimal system is investigated.