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arXiv · 1907.02925

Solvable Lie Algebras of Vector Fields and a Lie's Conjecture

Katarzyna Grabowska·Janusz Grabowski
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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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BibTeXRIS

Katarzyna Grabowska, Janusz Grabowski. 2019-07-05. Solvable Lie Algebras of Vector Fields and a Lie's Conjecture. https://doi.org/10.3842/sigma.2020.065

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