Email this article Cartan Matrices in the Toda–Darboux Chain Theory
- Authors: Shabat A.B.1, Adler V.E.1
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Affiliations:
- Landau Institute for Theoretical Physics
- Issue: Vol 196, No 1 (2018)
- Pages: 957-964
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171827
- DOI: https://doi.org/10.1134/S0040577918070024
- ID: 171827
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Abstract
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.
About the authors
A. B. Shabat
Landau Institute for Theoretical Physics
Author for correspondence.
Email: shabatab@mail.ru
Russian Federation, Chernogolovka, Moscow Oblast
V. E. Adler
Landau Institute for Theoretical Physics
Email: shabatab@mail.ru
Russian Federation, Chernogolovka, Moscow Oblast
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