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.
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页数：11
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