On Lie's classification of nonsolvable subalgebras of vector fields on the plane
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 ABF2 and ABF3 completes the classification of finite dimensional subalgebras of vector fields on the complex plane.
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