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

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.

15 pages, AMSTeX

References in corpus (2)

• An analytic description of the vector constrained KP hierarchy
• On a generalization of the Fay-Sato identity for KP Baker functions and its application to constrained hierarchies

Cited by in corpus (4)

• An analytic description of the vector constrained KP hierarchy
• Nonlinear PDEs for gap probabilities in random matrices and KP theory
• Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies
• On Grassmannian Description of the Constrained KP Hierarchy