Irreducible weight modules over Witt algebras with infinite dimensional weight spaces

Genqiang Liu, Kaiming zhao

Let $d>1$ be an integer. In 1986, Shen defined a class of weight modules $F_b^{\alpha }(V)$ over the Witt algebra ${\mathcal{W}}_d$ for $\a\in\C^d$, $b\in\C$, and an irreducible module $V$…