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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On rational symplectic parametrization of the coadjoint orbit of $\mathrm {GL}(N)$. Diagonalizable case
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by M. V. Babich and S. E. Derkachov
Translated by: the authors
St. Petersburg Math. J. 22 (2011), 347-357
DOI: https://doi.org/10.1090/S1061-0022-2011-01145-8
Published electronically: March 17, 2011

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.
References
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Bibliographic Information
  • M. V. Babich
  • Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, 27 Fontanka, St. Petersburg 191023, Russia
  • Email: mbabich@pdmi.ras.ru, misha.babich@gmail.com
  • S. E. Derkachov
  • Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, 27 Fontanka, St. Petersburg 191023, Russia
  • Email: derkach@pdmi.ras.ru
  • Received by editor(s): February 15, 2010
  • Published electronically: March 17, 2011

  • Dedicated: Dedicated to L. D. Faddeev on the occasion of his 75th birthday
  • © Copyright 2011 American Mathematical Society
  • Journal: St. Petersburg Math. J. 22 (2011), 347-357
  • MSC (2010): Primary 53D05
  • DOI: https://doi.org/10.1090/S1061-0022-2011-01145-8
  • MathSciNet review: 2729938