Geodesic
Cartan matrices in the Toda–Darboux chain theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 22-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss a one-to-one correspondence between the polynomial first integrals of Hamiltonian systems with exponential interaction and the hyperintegrals of the two-dimensional Toda lattice. We establish formulas for recalculating the corresponding polynomials and some general properties of their algebraic structure.
Mots-clés : Cartan matrix
Keywords: polynomial first integral, exponential system. 
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A. B. Shabat; V. E. Adler. Cartan matrices in the Toda–Darboux chain theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 22-29. http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a1/

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