A class of non-weight modules over the Schrödinger-Virasoro algebras

arXiv: Representation Theory（2018）

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Abstract

We construct and classify the free U(ℂL_0⊕ℂM_0⊕ℂY_0)-modules of rank 1 over the Schrödinger-Virasoro algebra 𝔰𝔳(s) for s=0.Moreover, we show that the class of free U(ℂL_0⊕ℂM_0)-modules of rank 1 over the Schrödinger-Virasoro algebra 𝔰𝔳(s) for s=1/2 is nonexistent.

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