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

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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.

Original languageEnglish
Pages (from-to)121-126
Number of pages6
JournalLetters in Mathematical Physics
Volume23
Issue number2
DOIs
Publication statusPublished - 1991 Oct 1
Externally publishedYes

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Keywords

  • AMS subject classification (1991): 81R50

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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