The homogeneous realization of the basic representation of Ainf1sup(1) and the toda lattice

A. P.E. Ten Kroode, M. J. Bergvelt

Research output: Contribution to journalArticlepeer-review


It is well-known that the principal realization of the basic module L(Λ0) over Ainf1sup(1)gives rise to the KdV hierarchy of partial differential equations. Here we use the homogeneous realization of the same module to construct a hierarchy of differential-difference equations, the first member of which turns out to be the equation for the Toda lattice.

Original languageEnglish (US)
Pages (from-to)139-147
Number of pages9
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Aug 1986

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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