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- W2143354355 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. On étend des résultats sur le système Toda An, fini et non-périodique, aux systèmes Toda de Bogoyavlesky de types Bn et Cn. Les sujets traités comprennent les master symmetries, les opérateurs de récursion, les crochets de Poisson et les invariants. Les résultats sont présentés en coordonnées (a,b) de Flaschka et aussi en coordonnées naturelles (q,p). Une conjecture qui met en rapport les degrés des crochets de Poisson avec les exponents des groupes de Lie qui leur correspondent est vérifiée pour ces systèmes." @default.
- W2143354355 created "2016-06-24" @default.
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- W2143354355 date "2001-01-01" @default.
- W2143354355 modified "2023-09-26" @default.
- W2143354355 title "Toda systems and exponents of simple Lie groups" @default.
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- W2143354355 doi "https://doi.org/10.1016/s0007-4497(00)01068-x" @default.
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