Shuoyang Xu

Modules over the Takiff Block type Lie algebra

In this paper, we introduce a family of infinite-dimensional Lie algebras $B(q)$ of Takiff Block type, containing Heisenberg-Virasoro algebra, $W$-algebra $W(2,2)$, and BMS-Kac-Moody algebra as subalgebras. For $q\in\mathbb C^*$, we classify the $ B(q)$-modules that are free of rank one over $U(\mathfrak h)$, where $\m...