On finite dimensional Lie algebras of planar vector fields with rational coefficients
Rings and Algebras
2013-01-10 v2 Commutative Algebra
Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1211.4165,
title = {On finite dimensional Lie algebras of planar vector fields with rational coefficients},
author = {Ievgen Makedonskyi and Anatoliy Petravchuk},
journal= {arXiv preprint arXiv:1211.4165},
year = {2013}
}
Comments
15 pages, abstract shortened, references added