Differential invariants and operators of invariant differentiation of the projectable action of Lie groups

We describe the relation between operators of invariant differentiation and invariant operators on orbits of Lie group actions. We propose a new effective method for finding differential invariants and operators of invariant differentiation and present examples.

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Bibliographische Detailangaben
Veröffentlicht in:	Theoretical and mathematical physics 2015-05, Vol.183 (2), p.619-636
Hauptverfasser:	Goncharovskii, M. M., Shirokov, I. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We describe the relation between operators of invariant differentiation and invariant operators on orbits of Lie group actions. We propose a new effective method for finding differential invariants and operators of invariant differentiation and present examples.
ISSN:	0040-5779 1573-9333
DOI:	10.1007/s11232-015-0285-z