Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
Differential Geometry
2020-07-13 v2 Mathematical Physics
Group Theory
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.
Keywords
Cite
@article{arxiv.1907.02925,
title = {Solvable Lie Algebras of Vector Fields and a Lie's Conjecture},
author = {Katarzyna Grabowska and Janusz Grabowski},
journal= {arXiv preprint arXiv:1907.02925},
year = {2020}
}