The vector k-constrained KP hierarchy and Sato's Grassmannian

J.W. van de Leur, Johan van de Leur

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    Abstract

    We use the representation theory of the infinite matrix group to show that (in the polynomial case) the n-vector-k-constrained KP hierarchy has a natural geometrical interpretation on Sato's infinite Grassmannian. This description generalizes the k-reduced KP or Gelfand-Dickey hierarchies.
    Original languageUndefined
    Pages (from-to)83-96
    Number of pages14
    JournalJournal of geometry and physics
    Volume23
    Issue number23
    DOIs
    Publication statusPublished - 1997

    Keywords

    • METIS-140402
    • IR-29768
    • Constrained KP
    • Infinite Grassmannian
    • KP hierarchy

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