On invariants and equivalence of differential operators under Lie pseudogroups actions

DOI10.1016/j.geomphys.2023.104839zbMath1521.58011arXiv2302.07833OpenAlexW4366134571MaRDI QIDQ6156154

Valentin V. Lychagin, Valerij A. Yumaguzhin

Publication date: 12 June 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.07833

zbMATH Keywords

vector bundledifferential invariantjet bundlelinear differential operatorLie pseudogroupLie equation

Mathematics Subject Classification ID

Jets in global analysis (58A20) Spectral flows (58J30) General theory of group and pseudogroup actions (22F05)

Cites Work

• Invariants of algebraic group actions from differential point of view
• Projective classification of binary and ternary forms
• Global Lie-Tresse theorem
• Invariants in relativity theory
• The infinite groups of Lie and Cartan. I: The transitive groups
• Classification of the second order linear differential operators and differential equations
• Natural differential invariants and equivalence of nonlinear second order differential operators
• On structure of linear differential operators, acting on line bundles
• On equivalence of third order linear differential operators on two-dimensional manifolds
• Some Basic Theorems on Algebraic Groups
• THE CLASSIFICATION OF THE COMPLEX PRIMITIVE INFINITE PSEUDOGROUPS
• Lie Equations, Vol. I
• Transvectants, modular forms, and the Heisenberg algebra.
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