On invariants and equivalence of differential operators under Lie pseudogroups actions

被引：0

作者：

Lychagin, Valentin

Yumaguzhin, Valeriy

机构：

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 189卷

关键词：

Linear differential operator; Differential invariant; Lie pseudogroup; Vector bundle; Jet bundle; Lie equation; CLASSIFICATION;

D O I：

10.1016/j.geomphys.2023.104839

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：11

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