Toda systems and exponents of simple Lie groups (Q5930050)
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scientific article; zbMATH DE number 1587306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Toda systems and exponents of simple Lie groups |
scientific article; zbMATH DE number 1587306 |
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Toda systems and exponents of simple Lie groups (English)
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20 January 2002
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The authors study some aspects of the Bogoyavlensky Toda systems of \(A_n\), \(B_n\) and \(C_n\) types. The results include master symmetries, recursion operators, higher Poisson brackets and invariants presented both in Flaschka's and in natural coordinates. A conjecture that relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.
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Bogoyavlensky Toda lattice
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Lie groups
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master symmetries
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recursion operators
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Poisson brackets
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