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nlin.SI2013
Semi-invariants and Integrals of the Full Symmetric sl(n) Toda Lattice
Yu. B. Chernyakov, A. S. Sorin
We consider the full symmetric version of the Lax operator of the Toda lattice which is known as the full symmetric Toda lattice. The phase space of this system is the generic orbi…
nlin.SI2013★ 13 cited
Explicit Semi-invariants and Integrals of the Full Symmetric sl(n) Toda Lattice
Yu. B. Chernyakov, A. S. Sorin
We show how to construct semi-invariants and integrals of the full symmetric sl(n) Toda lattice for all n. Using the Toda equations for the Lax eigenvector matrix we prove the exis…