Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 6, Pages 1405–1421 (Mi smj1816)  
This article is cited in 8 scientific papers (total in 8 papers)

Differential invariants of the transformation group of a homogeneous space

I. V. Shirokov

Irtysh Branch of Novosibirsk State Academy of Water Transport
Full-text PDF (363 kB) Citations (8)
References:
PDF
HTML
Abstract: We demonstrate that the invariant operators on a homogeneous space generate differential invariants and invariant differentiation operators. The coordinate-free method of this article makes it possible to simply the computations essentially, namely to reduce them to operations of linear algebra. Some examples are exhibited.
Keywords: Lie group, homogeneous space, differential invariant, invariant operator.
Received: 16.01.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 6, Pages 1127–1140
DOI: https://doi.org/10.1007/s11202-007-0114-1
Bibliographic databases:
UDC: 512.816.7+512.816.1
Language: Russian
Citation: I. V. Shirokov, “Differential invariants of the transformation group of a homogeneous space”, Sibirsk. Mat. Zh., 48:6 (2007), 1405–1421; Siberian Math. J., 48:6 (2007), 1127–1140
Citation in format AMSBIB
\Bibitem{Shi07}
\by I.~V.~Shirokov
\paper Differential invariants of the transformation group of a homogeneous space
\jour Sibirsk. Mat. Zh.
\yr 2007
\vol 48
\issue 6
\pages 1405--1421
\mathnet{http://mi.mathnet.ru/smj1816}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2397519}
\zmath{https://zbmath.org/?q=an:1164.35309}
\elib{https://elibrary.ru/item.asp?id=9552805}
\transl
\jour Siberian Math. J.
\yr 2007
\vol 48
\issue 6
\pages 1127--1140
\crossref{https://doi.org/10.1007/s11202-007-0114-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000251724400016}
\elib{https://elibrary.ru/item.asp?id=13544325}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36749092696}
Linking options:
  • https://www.mathnet.ru/eng/smj1816
  • https://www.mathnet.ru/eng/smj/v48/i6/p1405
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:358
    Full-text PDF :200
    References:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024