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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages of plain tex, no figures

Scientific paper

10.1063/1.531352

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

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