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

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

Fingerprint

Keywords

AMS subject classification (1991): 81R50

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Cite this

Ikeda, K. (1991). The Hamiltonian systems on the Poisson structure of the quasi-classical limit of GL_q(∞). Letters in Mathematical Physics, 23(2), 121-126. https://doi.org/10.1007/BF00703724

@article{33ab78a71a2449b498b2f6949a44d930,

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

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.",

keywords = "AMS subject classification (1991): 81R50",

author = "Kaoru Ikeda",

year = "1991",

month = oct,

day = "1",

doi = "10.1007/BF00703724",

language = "English",

volume = "23",

pages = "121--126",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - The Hamiltonian systems on the Poisson structure of the quasi-classical limit of GLq(∞)

AU - Ikeda, Kaoru

PY - 1991/10/1

Y1 - 1991/10/1

N2 - 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.

AB - 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.

KW - AMS subject classification (1991): 81R50

UR - http://www.scopus.com/inward/record.url?scp=34249925802&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249925802&partnerID=8YFLogxK

U2 - 10.1007/BF00703724

DO - 10.1007/BF00703724

M3 - Article

AN - SCOPUS:34249925802

VL - 23

SP - 121

EP - 126

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 2

ER -

Access to Document

10.1007/BF00703724