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Solvable Lie Algebras of Vector Fields and a Lie's Conjecture (1907.02925v2)
Published 5 Jul 2019 in math.DG, math-ph, math.GR, and math.MP
Abstract: We present a local and constructive differential geometric description of finite-dimensional solvable and transitive Lie algebras of vector fields. We show that it implies a Lie's conjecture for such Lie algebras. Also infinite-dimensional analytical solvable and transitive Lie algebras of vector fields whose derivative ideal is nilpotent can be adapted to this scheme.
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