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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Acknowledgements
The second author, Indranil Biswas is supported by a J.C. Bose Fellowship. The third author, would like to thank the NRF of South Africa and the Abdus Salam School of Mathematical Sciences, Pakistan, for their support in collaboration.
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Communicated by A J Parameswaran.
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Azad, H., Biswas, I., Mahomed, F.M. et al. On Lie’s classification of subalgebras of vector fields on the plane. Proc Math Sci 132, 66 (2022). https://doi.org/10.1007/s12044-022-00711-5
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DOI: https://doi.org/10.1007/s12044-022-00711-5