Loop Algebra Symmetries and Commuting Flows for the Kadomtsev-Petviashvili Hierarchy

Abstract

The relation between the $\widehat\gl(\infty)$ symmetry of the Kadomtsev-Petviashvili hierarchy and the Kac-Moody-Virasoro Lie point symmetries of the individual equations is established. The Lie point symmetries are shown to be the only local ones.

16 pages, CRM-1936