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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
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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
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:835
    Russian version PDF:276
    English version PDF:50
    References:83
    First page:31
     
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