Non-weight modules over a Schr{ö}dinger-Virasoro type algebra

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{ö}dinger-Virasoro type algebra $\mathfrak{tsv}$.

20 pages