The Adler-Shiota-van Moerbeke formula for the BKP hierarchy

Abstract

We study the BKP hierarchy and prove the existence of an Adler--Shiota--van Moerbeke formula. This formula relates the action of the $B{W}_{1+\infty }$--algebra on tau--functions to the action of the ``additional symmetries'' on wave functions.

11 pages of plain tex, no figures

References in corpus (1)

• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

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