Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{GonShi15}
\by M.~M.~Goncharovskiy, I.~V.~Shirokov
\paper Differential invariants and operators of invariant differentiation of the~projectable action of Lie groups
\jour TMF
\yr 2015
\vol 183
\issue 2
\pages 202--221
\mathnet{http://mi.mathnet.ru/tmf8792}
\crossref{https://doi.org/10.4213/tmf8792}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3399642}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015TMP...183..619G}
\elib{https://elibrary.ru/item.asp?id=23421745}
\transl
\jour Theoret. and Math. Phys.
\yr 2015
\vol 183
\issue 2
\pages 619--636
\crossref{https://doi.org/10.1007/s11232-015-0285-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000355826000003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84930643475}
Linking options:
  • https://www.mathnet.ru/eng/tmf8792
  • https://doi.org/10.4213/tmf8792
  • https://www.mathnet.ru/eng/tmf/v183/i2/p202
    • This publication is cited in the following 2 articles:
    1. F. Barbaresco, “Lie group statistics and lie group machine learning based on Souriau lie groups thermodynamics & Koszul-Souriau-Fisher metric: new entropy definition as generalized Casimir invariant function in coadjoint representation”, Entropy, 22:6 (2020), 642  crossref  mathscinet  isi
    2. R. K. Gazizov, A. A. Gainetdinova, “Operator of invariant differentiation and its application for integrating systems of ordinary differential equations”, Ufa Math. J., 9:4 (2017), 12–21  mathnet  crossref  isi  elib
    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
    Statistics & downloads:
    Abstract page:587
    Full-text PDF :220
    References:90
    First page:47
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025