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On Lie's classification of subalgebras of vector fields on the plane

Representation Theory 2022-08-11 v2 Group Theory

Abstract

A brief proof of Lie's classification of solvable algebras of vector fields on the plane is given. The proof uses basic representation theory and PDEs.

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Cite

@article{arxiv.2012.01422,
  title  = {On Lie's classification of subalgebras of vector fields on the plane},
  author = {Hassan Azad and Indranil Biswas and Fazal M. Mahomed and Said Waqas Shah},
  journal= {arXiv preprint arXiv:2012.01422},
  year   = {2022}
}

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