On invariants and equivalence of differential operators under Lie pseudogroups actions
Differential Geometry
2023-05-17 v1 Mathematical Physics
math.MP
Abstract
In this paper, we study invariants of linear differential operators with respect to algebraic Lie pseudogroups. Then we use these invariants and the principle of n-invariants to get normal forms (or models) of the differential operators and solve the equivalence problem for actions of algebraic Lie pseudogroups. As a running example of application of the methods, we use the pseudogroup of local symplectomorphisms.
Keywords
Cite
@article{arxiv.2302.07833,
title = {On invariants and equivalence of differential operators under Lie pseudogroups actions},
author = {Valentin Lychagin and Valeriy Yumaguzhin},
journal= {arXiv preprint arXiv:2302.07833},
year = {2023}
}