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

✍ Scribed by Johan van de Leur

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 536 KB
• Volume: 23
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(97)81154-0

✦ Synopsis

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.