Global Lie-Tresse theorem
Differential Geometry
2015-06-16 v3
Abstract
We prove a global algebraic version of the Lie-Tresse theorem which states that the algebra of differential invariants of an algebraic pseudogroup action on a differential equation is generated by a finite number of rational-polynomial differential invariants and invariant derivations.
Keywords
Cite
@article{arxiv.1111.5480,
title = {Global Lie-Tresse theorem},
author = {Boris Kruglikov and Valentin Lychagin},
journal= {arXiv preprint arXiv:1111.5480},
year = {2015}
}
Comments
This version is revised so: more explanations, some minor corrections, editorial changes and a new "running" example added