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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 113, Number 1, Pages 3–12
DOI: https://doi.org/10.4213/tmf1060 (Mi tmf1060) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups

G. E. Arutyunov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (249 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1060
Abstract: By applying the Hamiltonian reduction method to the cotangent bundle over loop groups, we recover the well-known classical trigonometric $r$-matrices of the periodic Toda lattice.
Received: 30.05.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 113, Issue 1, Pages 1209–1216
DOI: https://doi.org/10.1007/BF02634008
Bibliographic databases:
Language: Russian
Citation: G. E. Arutyunov, “Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups”, TMF, 113:1 (1997), 3–12; Theoret. and Math. Phys., 113:1 (1997), 1209–1216
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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