The Hamiltonian systems on the Poisson structure of the quasi-classical limit of GLq(∞)

Kaoru Ikeda

doi:10.1007/BF00703724

The Hamiltonian systems on the Poisson structure of the quasi-classical limit of GL_q(∞)

Kaoru Ikeda

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	121-126
Number of pages	6
Journal	Letters in Mathematical Physics
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/BF00703724
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

Access to Document

10.1007/BF00703724

Cite this

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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.",

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