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arXiv · 2302.07833

On invariants and equivalence of differential operators under Lie pseudogroups actions

Valentin Lychagin·Valeriy Yumaguzhin
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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.

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Valentin Lychagin, Valeriy Yumaguzhin. 2023-02-02. On invariants and equivalence of differential operators under Lie pseudogroups actions. https://doi.org/10.1016/j.geomphys.2023.104839

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