Solvability of a Lie algebra of vector fields implies their integrability by quadratures

  title={Solvability of a Lie algebra of vector fields implies their integrability by quadratures},
  author={Jos{\'e} F. Cari{\~n}ena and Fernando Falceto and Janusz Grabowski},
  journal={Journal of Physics A: Mathematical and Theoretical},
We present a substantial generalisation of a classical result by Lie on integrability by quadratures. Namely, we prove that all vector fields in a finite-dimensional transitive and solvable Lie algebra of vector fields on a manifold can be integrated by quadratures. 

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