On Harish-Chandra modules of the Lie algebra arising from the $2$-Dimensional Torus

Zhiqiang Li, Shaobin Tan, Qing Wang

Let $A=\mathbb{C}[t_1^{\pm 1},t_2^{\pm 1}]$ be the algebra of Laurent polynomials in two variables and $B$ be the set of skew derivations of $A$. Let $L$ be the universal central ext…