English

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

q-alg 2009-10-30 v1 Quantum Algebra

Abstract

We use the representation theory of the infinite matrix group to show that (in the polynomial case) the nn--vector kk--constrained KP hierarchy has a natural geometrical interpretation on Sato's infinite Grassmannian. This description generalizes the the kk--reduced KP or Gelfand--Dickey hierarchies.

Keywords

Cite

@article{arxiv.q-alg/9609001,
  title  = {The vector k-constrained KP hierarchy and Sato's Grassmannian},
  author = {Johan van de Leur},
  journal= {arXiv preprint arXiv:q-alg/9609001},
  year   = {2009}
}

Comments

15 pages, AMSTeX