English

$W_{1+\infty}$ flows and multi-component hierarchy (KP case)

Exactly Solvable and Integrable Systems 2024-09-04 v2

Abstract

We show that abelian subalgebras of generalized W1+W_{1+\infty} (GW1+GW_{1+\infty}) algebra gives rise to the multicomponent KP flows. The matrix elements of the related group elements in the fermionic Fock space is expressed as a product of a certain factor (generalized content product) and of a number of the Schur functions and the skew Schur functions.

Keywords

Cite

@article{arxiv.2311.12995,
  title  = {$W_{1+\infty}$ flows and multi-component hierarchy (KP case)},
  author = {A. Yu. Orlov},
  journal= {arXiv preprint arXiv:2311.12995},
  year   = {2024}
}
R2 v1 2026-06-28T13:27:58.150Z