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Title: Toda systems and exponents of simple Lie groups
Authors: Costa, Joana M. Nunes da 
Damianou, Pantelis A. 
Issue Date: 2001
Citation: Bulletin des Sciences Mathématiques. 125:1 (2001) 49-69
Abstract: Results on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda systems of type Bn and Cn. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a,b) as well as in the natural (q,p) coordinates. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.
DOI: 10.1016/S0007-4497(00)01068-X
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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