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

Published 17 Nov 2012 in math.RA, math.AC, and math.AP | (1211.4165v2)

Abstract: The Lie algebra of planar vector fields with coefficients from the field of rational functions over an algebraically closed field of characteristic zero is considered. We find all finite-dimensional Lie algebras that can be realized as subalgebras of this algebra.

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