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

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

1996-08-30

arxiv.org/abs/q-alg/9609001v1

Mathematics

Quantum Algebra

15 pages, AMSTeX

Scientific paper

10.1016/S0393-0440(97)81154-0

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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