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Sbornik: Mathematics, 2014, Volume 205, Issue 1, Pages 45–62
DOI: https://doi.org/10.1070/SM2014v205n01ABEH004366 (Mi sm8197) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Classification of Lie algebras with generic orbits of dimension 2 in the coadjoint representation

A. Yu. Konyaev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (502 kB) Citations (9) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2014v205n01ABEH004366
Abstract: We provide a complete list of real Lie algebras with generic orbits of dimension 2 in the coadjoint representation.
Bibliography: 20 titles.
Keywords: Poisson bracket, Lie algebra, coadjoint representation, integrable systems.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-1410.2012.1
14.740.11.0794
14.740.11.0876
11.G34.31.0054
Received: 10.12.2012 and 15.10.2013
Bibliographic databases:
Document Type: Article
UDC: 514.747.2
MSC: Primary 17B08; Secondary 17B80, 53D17
Language: English
Original paper language: Russian
Citation: A. Yu. Konyaev, “Classification of Lie algebras with generic orbits of dimension 2 in the coadjoint representation”, Sb. Math., 205:1 (2014), 45–62
Citation in format AMSBIB
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\yr 2014
\vol 205
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Linking options:
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  • https://doi.org/10.1070/SM2014v205n01ABEH004366
  • https://www.mathnet.ru/eng/sm/v205/i1/p47
    • This publication is cited in the following 9 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:1120
    Russian version PDF:433
    English version PDF:114
    References:145
    First page:85
     
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