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The Hamiltonian systems on the Poisson structure of the quasi-classical limit of GL q (∞)
Authors:Kaoru Ikeda
Institution:(1) Otaru University of Commerce, 3-5-21 midori, 047 Otaru-shi, Hokkaidoo, Japan
Abstract:We consider the Hamiltonian systems on the Poisson structure of GL(infin) which is introduced from the quantum group GL q (infin) by the so-called quasi-classical limit of GL q (infin). Furthermore, we show that the Toda lattice hierarchy is a Hamiltonian system of this structure.
Keywords:81R50
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