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The <i>W</i>1+โˆž(<i>gl</i> <i>s</i>)-symmetries of the <i>s</i>-component KP hierarchy

The <i>W</i>1+โˆž(<i>gl</i> <i>s</i>)-symmetries of the <i>s</i>-component KP hierarchy

Adler, Shiota, and van Moerbeke obtained for the KP and Toda lattice hierarchies a formula which translates the action of the vertex operator on tau-functions to an action of a vertex operator of pseudodifferential operators on wave functions. This relates the additional symmetries of the KP and Toda lattice hierarchy โ€ฆ