On invariants and equivalence of differential operators under Lie pseudogroups actions
arXiv:2302.07833 · doi:10.1016/j.geomphys.2023.104839
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.