Shuoyang Xu

collaborators

2 papers

math.RT2026

Modules over the Takiff Block type Lie algebra

Shuoyang Xu, Haibo Chen

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-Moo…

math.RT2026

Simple gradable $C [h]$ -torsion free $sl_{2}$ -modules

Volodymyr Mazorchuk, Shuoyang Xu

We give an explicit classification as well as an explicit construction of simple $sl_{2}$ -modules that are torsion-free of finite rank with respect to the action of the Ca…

Modules over the Takiff Block type Lie algebra

Simple gradable C[h]-torsion free sl2​-modules

Simple gradable $C [h]$ -torsion free $sl_{2}$ -modules