Abstract
We consider the Hamiltonian systems on the Poisson structure of GL(∞) which is introduced from the quantum group GLq(∞) by the so-called quasi-classical limit of GLq(∞). Furthermore, we show that the Toda lattice hierarchy is a Hamiltonian system of this structure.
Original language | English |
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Pages (from-to) | 121-126 |
Number of pages | 6 |
Journal | Letters in Mathematical Physics |
Volume | 23 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1991 Oct 1 |
Externally published | Yes |
Keywords
- AMS subject classification (1991): 81R50
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics