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Algebra i Analiz, 2010, Volume 22, Issue 3, Pages 16–31 (Mi aa1184)  
This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case

M. V. Babich, S. E. Derkachov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (636 kB) Citations (11)
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Abstract: A method for constructing birational Darboux coordinates on a coadjoint orbit of the general linear group is presented. This method is based on the Gauss decomposition of a matrix in the product of an upper-triangular and a lower-triangular matrix. The method works uniformly for the orbits formed by the diagonalizable matrices of any size and for arbitrary dimensions of the eigenspaces.
Keywords: Darboux coordinates, symplectic form, Poisson bracket, coadjoint orbit.
Received: 15.02.2010
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 3, Pages 347–357
DOI: https://doi.org/10.1090/S1061-0022-2011-01145-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Babich, S. E. Derkachov, “On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case”, Algebra i Analiz, 22:3 (2010), 16–31; St. Petersburg Math. J., 22:3 (2011), 347–357
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:628
    Full-text PDF :190
    References:102
    First page:16
     
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