It is shown that the W1+∞ algebra is nothing but the simplest subalgebra of a q-discretized \vi\ algebra, in the language of the KP hierarchy explicitly.
@article{arxiv.hep-th/9411027,
title = {$W_{1+\infty}$ as a Discretization of Virasoro Algebra},
author = {Ryuji KEMMOKU and Satoru SAITO and 13 pages and Latex},
journal= {arXiv preprint arXiv:hep-th/9411027},
year = {2007}
}