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

J.W. van de Leur; Johan van de Leur

doi:10.1016/S0393-0440(97)81154-0

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 language	Undefined
Pages (from-to)	83-96
Number of pages	14
Journal	Journal of geometry and physics
Volume	23
Issue number	23
DOIs	https://doi.org/10.1016/S0393-0440(97)81154-0
Publication status	Published - 1997

Keywords

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

Access to Document

10.1016/S0393-0440(97)81154-0

Leur97vector

Cite this

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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.",

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T1 - The vector k-constrained KP hierarchy and Sato's Grassmannian

AU - van de Leur, J.W.

AU - van de Leur, Johan

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AB - 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.

KW - METIS-140402

KW - IR-29768

KW - Constrained KP

KW - Infinite Grassmannian

KW - KP hierarchy

U2 - 10.1016/S0393-0440(97)81154-0

DO - 10.1016/S0393-0440(97)81154-0

M3 - Article

VL - 23

SP - 83

EP - 96

JO - Journal of geometry and physics

JF - Journal of geometry and physics

SN - 0393-0440

IS - 23

ER -