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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 4, Pages 737–745 (Mi smj1995)  
This article is cited in 7 scientific papers (total in 7 papers)

Deformations of vector fields and canonical coordinates on coadjoint orbits

S. P. Baranovskii, I. V. Shirokov

Irtysh Branch of Novosibirsk State Academy of Water Transport, Omsk
Full-text PDF (311 kB) Citations (7)
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Abstract: We establish the concurrence of the existence of a canonical linear embedding, enabling us to pass to the Darboux coordinates on the coadjoint orbits, and the existence of a polarization of a certain linear functional. In a corollary to the main theorem we prove that every polarization is normal, which means that it satisfies the Pukansky condition.
Keywords: Lie algebra, coadjoint orbit, Lie–Poisson bracket, polarization, Pukansky condition.
Received: 16.01.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 4, Pages 580–586
DOI: https://doi.org/10.1007/s11202-009-0064-x
Bibliographic databases:
UDC: 512.81+512.546.4+512.664.3
Language: Russian
Citation: S. P. Baranovskii, I. V. Shirokov, “Deformations of vector fields and canonical coordinates on coadjoint orbits”, Sibirsk. Mat. Zh., 50:4 (2009), 737–745; Siberian Math. J., 50:4 (2009), 580–586
Citation in format AMSBIB
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\paper Deformations of vector fields and canonical coordinates on coadjoint orbits
\jour Sibirsk. Mat. Zh.
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\vol 50
\issue 4
\pages 737--745
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\transl
\jour Siberian Math. J.
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\issue 4
\pages 580--586
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    • This publication is cited in the following 7 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
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