Loading [MathJax]/jax/output/SVG/config.js
Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
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


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2009, Volume 200, Issue 12, Pages 1731–1766
DOI: https://doi.org/10.1070/SM2009v200n12ABEH004057 (Mi sm7556) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Integrable Hamiltonian systems on low-dimensional Lie algebras

A. A. Korotkevich

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (393 kB) Citations (12) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2009v200n12ABEH004057
Abstract: For any real Lie algebra of dimension 3, 4 or 5 and any nilpotent algebra of dimension 6 an integrable Hamiltonian system with polynomial coefficients is found on its coalgebra. These systems are constructed using Sadetov's method for constructing complete commutative families of polynomials on a Lie coalgebra.
Bibliography: 17 titles.
Keywords: integrable Hamiltonian systems, complete commutative families of polynomials, Sadetov's method.
Received: 13.03.2009
Bibliographic databases:
UDC: 514.745.8
MSC: Primary 37J35; Secondary 70H06, 17B05
Language: English
Original paper language: Russian
Citation: A. A. Korotkevich, “Integrable Hamiltonian systems on low-dimensional Lie algebras”, Sb. Math., 200:12 (2009), 1731–1766
Citation in format AMSBIB
\Bibitem{Kor09}
\by A.~A.~Korotkevich
\paper Integrable Hamiltonian systems on low-dimensional Lie algebras
\jour Sb. Math.
\yr 2009
\vol 200
\issue 12
\pages 1731--1766
\mathnet{http://mi.mathnet.ru/eng/sm7556}
\crossref{https://doi.org/10.1070/SM2009v200n12ABEH004057}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2604535}
\zmath{https://zbmath.org/?q=an:1185.37138}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009SbMat.200.1731K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000275236600007}
\elib{https://elibrary.ru/item.asp?id=19066099}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77349097312}
Linking options:
  • https://www.mathnet.ru/eng/sm7556
  • https://doi.org/10.1070/SM2009v200n12ABEH004057
  • https://www.mathnet.ru/eng/sm/v200/i12/p3
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:905
    Russian version PDF:289
    English version PDF:75
    References:96
    First page:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025