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arxiv: hep-th/9411159 · v1 · submitted 1994-11-22 · ✦ hep-th · math.QA· q-alg

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

classification ✦ hep-th math.QAq-alg
keywords formulaactionhierarchymoerbekeadditionaladler--shiota--vanadler-shiota-vanalgebra
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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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