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.
- AMS subject classification (1991): 81R50
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics