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Matematicheskie Zametki, 2002, Volume 72, Issue 1, Pages 11–34
DOI: https://doi.org/10.4213/mzm400 (Mi mzm400) 		 
This article is cited in 58 scientific papers (total in 58 papers)

Compatible Poisson Brackets on Lie Algebras

A. V. Bolsinova, A. V. Borisovb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b M. V. Lomonosov Moscow State University
Full-text PDF (321 kB) Citations (58)
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DOI: https://doi.org/10.4213/mzm400
Abstract: We discuss the relationship between the representation of an integrable system as an $L$-$A$-pair with a spectral parameter and the existence of two compatible Hamiltonian representations of this system. We consider examples of compatible Poisson brackets on Lie algebras, as well as the corresponding integrable Hamiltonian systems and Lax representations.
Received: 01.10.2000
English version:
Mathematical Notes, 2002, Volume 72, Issue 1, Pages 10–30
DOI: https://doi.org/10.1023/A:1019856702638
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Bolsinov, A. V. Borisov, “Compatible Poisson Brackets on Lie Algebras”, Mat. Zametki, 72:1 (2002), 11–34; Math. Notes, 72:1 (2002), 10–30
Citation in format AMSBIB
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    • This publication is cited in the following 58 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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