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arXiv · q-alg/9609001

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

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 the $k$--reduced KP or Gelfand--Dickey hierarchies.

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BibTeXRIS

Johan van de Leur. 1996-08-30. The vector k-constrained KP hierarchy and Sato's Grassmannian. https://doi.org/10.1016/s0393-0440(97)81154-0

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