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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 2, Pages 202–221
DOI: https://doi.org/10.4213/tmf8792 (Mi tmf8792) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

M. M. Goncharovskiya, I. V. Shirokovb

a Omsk State University, Omsk, Russia
b Omsk State Technical University
Full-text PDF (503 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8792
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.
Funding agency Grant number
Russian Foundation for Basic Research 14-07-00272_а
Received: 13.09.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 2, Pages 619–636
DOI: https://doi.org/10.1007/s11232-015-0285-z
Bibliographic databases:
Language: Russian
Citation: M. M. Goncharovskiy, I. V. Shirokov, “Differential invariants and operators of invariant differentiation of the projectable action of Lie groups”, TMF, 183:2 (2015), 202–221; Theoret. and Math. Phys., 183:2 (2015), 619–636
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v183/i2/p202
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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