Higher Symmetries of Toda Equations

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The symmetries of the simplest non-abelian Toda equations are discussed. The set of characteristic integrals whose Hamiltonian counterparts form a W-algebra, is presented.
11 pages, LaTeX, no figures; Based on talk given at the 12th International Seminar on High Energy Physics ``Quarks'2002'', Novgorod, Russia, June 1--7, 2002

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