Toda systems and exponents of simple lie groups
Ημερομηνία
2001Source
Bulletin des Sciences MathematiquesVolume
125Issue
1Pages
49-69Google Scholar check
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
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. © 2001 Éditions scientifiques et médicales Elsevier SAS.