A class of non-weight modules over the Schrödinger-Virasoro algebras
arXiv: Representation Theory(2018)
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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