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On Lie's classification of nonsolvable subalgebras of vector fields on the plane
Published 30 Jul 2025 in math.RT and math.DG | (2507.22642v1)
Abstract: A brief proof of Lie's classification of finite dimensional subalgebras of vector fields on the complex plane that have a proper Levi decomposition is given. The proof uses basic representation theory of sl(2, C). This, combined with \cite{ABF2} and \cite{ABF3} completes the classification of finite dimensional subalgebras of vector fields on the complex plane.
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