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arxiv: 0801.2209 · v1 · submitted 2008-01-15 · 🧮 math.RA

Representations of the Schr\"{o}dinger-Virasoro algebras

classification 🧮 math.RA
keywords algebrasmoduleweightdinger-virasoroschrboundedcompletelydetermined
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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. Furthermore, indecomposable modules of the intermediate series over these algebras are completely determined.

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