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Non-weight modules over a Schr{\"o}dinger-Virasoro type algebra

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arxiv 2208.02636 v1 pith:W52TVJB6 submitted 2022-08-04 math.RT

classification math.RT
keywords mathbbalgebradinger-virasoromodulesoplusschrtypeclassification
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abstract

In this paper, we give a complete classification of all free $U(\mathbb{C}L_0 \oplus \mathbb{C}Y_0\oplus \mathbb{C}M_0)$-modules of rank 1 over a Schr{\"o}dinger-Virasoro type algebra $\mathfrak{tsv}$.

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