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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 2, Pages 39–50
DOI: https://doi.org/10.4213/faa3143 (Mi faa3143) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Limits of Integrable Hamiltonians on Semisimple Lie Algebras

È. B. Vinberg

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/faa3143
Abstract: It is proved that the limit of integrable Hamiltonians on a semisimple Lie algebra is an integrable Hamiltonian. Some limits of integrable Hamiltonians obtained by the argument shift method such that these limits themselves cannot be obtained by this method are constructed.
Keywords: Poisson algebra, Hamiltonian system, complete integrability, semisimple Lie algebra, transcendence degree, Gelfand–Kirillov dimension.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00704
Received: 05.01.2014
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 2, Pages 107–115
DOI: https://doi.org/10.1007/s10688-014-0051-2
Bibliographic databases:
Document Type: Article
UDC: 512.81
Language: Russian
Citation: È. B. Vinberg, “Limits of Integrable Hamiltonians on Semisimple Lie Algebras”, Funktsional. Anal. i Prilozhen., 48:2 (2014), 39–50; Funct. Anal. Appl., 48:2 (2014), 107–115
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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