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arxiv: q-alg/9609001 · v1 · submitted 1996-08-30 · q-alg · math.QA

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

classification q-alg math.QA
keywords grassmannianhierarchyinfinitesatovectorcaseconstraineddescription
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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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