On finite dimensional Lie algebras of planar vector fields with rational coefficients (Q2877327)

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scientific article; zbMATH DE number 6333565
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On finite dimensional Lie algebras of planar vector fields with rational coefficients
scientific article; zbMATH DE number 6333565

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    21 August 2014
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    Lie algebra of planar vector fields
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    finite dimensional Lie algebra
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    math.RA
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    math.AC
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    math.AP
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    On finite dimensional Lie algebras of planar vector fields with rational coefficients (English)
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    The authors study the Lie algebra \(\tilde{W}_2(K)\) of planar vector fields with coefficients from the field of rational functions over an algebraically closed field \(K\) of characteristic zero. A description of all finite dimensional Lie algebras isomorphic to subalgebras of \(\tilde{W}_2(K)\) is given.
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