This article is cited in 2 papers

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

M. M. Goncharovskiy^a, I. V. Shirokov<sup>b

a</sup> Omsk State University, Omsk, Russia
^b Omsk State Technical University

Abstract: 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.

Keywords: group analysis of differential equations, differential invariant, operator of invariant differentiation, invariant operator.

Received: 13.09.2014

DOI: 10.4213/tmf8792

 English version: Theoretical and Mathematical Physics, 2015, 183:2, 619–636

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