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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
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Cartan matrices in the theory of Toda-Darboux chains A. B. Shabat L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences |
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Abstract: One-to-one correspondence of the first integrals of the Hamiltonian systems with exponential interaction and “hyper-integrals” of two-dimensional Tada chain is considered. Conversion formulas of the corresponding polynomials and some generic properties of their algebraic structure are established. |
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