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Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: vector field, nilpotent Lie algebra
Mots-clés : solvable Lie algebra, dilation, foliation. 
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     author = {Katarzyna Grabowska and Janusz Grabowski},
     title = {Solvable {Lie} {Algebras} of {Vector} {Fields} and a {Lie's} {Conjecture}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a64/}
}
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Katarzyna Grabowska; Janusz Grabowski. Solvable Lie Algebras of Vector Fields and a Lie's Conjecture. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a64/

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