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In this paper it is proved that an irreducible weight module with finite-dimensional weight spaces over the Schr\"{o}dinger-Virasoro algebras is a highest/lowest weight module or a uniformly bounded module.
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J. Unterberger, On vertex algebra representations of the Schrödinger-Virasoro algebra, preprint (arXiv:cond-mat/0703214), (2007)
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