Whittaker categories and the minimal nilpotent finite $W$-algebra for ${\mathfrak{sl}}_{n+1}$

Genqiang Liu, Yang Li

For any $\mathbf{a}=(a_1,\dots ,a_n)\in {\mathbb{C}}^n$, we introduce a Whittaker category ${\mathcal{H}}_{\mathbf{a}}$ whose objects are ${\mathfrak{sl}}_{n+1}$-modules $M$ such that $e_…