Construction of First-Order Invariant Differential Operators

Construction of First-Order Invariant Differential Operators

The paper considers the problem of constructing systems of vector fields that are invariant under the action of the local Lie group of transformations. It is shown that there exists a special class of Lie groups for which this problem can be solved elementarily.

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Veröffentlicht in:Russian mathematics 2024-05, Vol.68 (5), p.27-34
Hauptverfasser: Kurnyavko, O. L., Shirokov, I. V.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Fields (mathematics)
Invariants
Lie groups
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Beschreibung
Zusammenfassung:The paper considers the problem of constructing systems of vector fields that are invariant under the action of the local Lie group of transformations. It is shown that there exists a special class of Lie groups for which this problem can be solved elementarily.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X24700336