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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 143, Number 1, Pages 33–48
DOI: https://doi.org/10.4213/tmf1802 (Mi tmf1802) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Truncations of Toda chains and the reduction problem

I. T. Habibullin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (252 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf1802
Abstract: We prove that the generalized Toda chains corresponding to simple Lie algebras of type $D$ are reductions of chains corresponding to Lie algebras of type $A$.
Keywords: generalized Toda chains, Darboux integrability, Laplace invariants, Lax pair, simple Lie algebras.
Received: 20.05.2004
English version:
Theoretical and Mathematical Physics, 2005, Volume 143, Issue 1, Pages 515–528
DOI: https://doi.org/10.1007/s11232-005-0087-9
Bibliographic databases:
Language: Russian
Citation: I. T. Habibullin, “Truncations of Toda chains and the reduction problem”, TMF, 143:1 (2005), 33–48; Theoret. and Math. Phys., 143:1 (2005), 515–528
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf1802
  • https://www.mathnet.ru/eng/tmf/v143/i1/p33
    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:445
    Full-text PDF :250
    References:48
    First page:2
     
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