Abstract
We consider the Hamiltonian systems on the Poisson structure of GL(∞) which is introduced from the quantum group GL q (∞) by the so-called quasi-classical limit of GL q (∞). Furthermore, we show that the Toda lattice hierarchy is a Hamiltonian system of this structure.
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Ikeda, K. The Hamiltonian systems on the Poisson structure of the quasi-classical limit of GL q (∞). Lett Math Phys 23, 121–126 (1991). https://doi.org/10.1007/BF00703724
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DOI: https://doi.org/10.1007/BF00703724