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arXiv · 1809.05236

A class of non-weight modules over the Schr\"{o}dinger-Virasoro algebras

Yumei Wang·Honglian Zhang
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Abstract

We construct and classify the free $U(\mathbb{C}L_0\oplus \mathbb{C}M_0\oplus\mathbb{C}Y_0)$-modules of rank $1$ over the Schr\"{o}dinger-Virasoro algebra $\mathfrak{sv}(s)$ for $s=0$.Moreover, we show that the class of free $U(\mathbb{C}L_0\oplus\mathbb{C}M_0)$-modules of rank $1$ over the Schr\"{o}dinger-Virasoro algebra $\mathfrak{sv}(s)$ for $s=\frac{1}{2}$ is nonexistent.

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BibTeXRIS

Yumei Wang, Honglian Zhang. 2018-09-14. A class of non-weight modules over the Schr\"{o}dinger-Virasoro algebras. https://arxiv.org/abs/1809.05236

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