The Hamiltonian systems on the Poisson structure of the quasi-classical limit of GL
q
(∞) |
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Authors: | Kaoru Ikeda |
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Institution: | (1) Otaru University of Commerce, 3-5-21 midori, 047 Otaru-shi, Hokkaidoo, Japan |
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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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Keywords: | 81R50 |
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