Typical representations of Takiff superalgebras

Chih-Whi Chen, Yongjie Wang

We investigate representations of the $\ell$-th Takiff superalgebras ${\tilde{\mathfrak{g}}}_{\ell }:=\tilde{\mathfrak{g}}\otimes \mathbb{C}[\hat{I}¸]/(\hat{I}{¸}^{\ell +1})$, for $\ell >0$, ass…