Irreducible cuspidal ${\mathfrak{sl}}_{n+1}$-modules from finite-dimensional modules over the minimal nilpotent finite $W$-algebra

Genqiang Liu, Mingjie Li

A weight ${\mathfrak{sl}}_{n+1}$-module with finite-dimensional weight spaces is called a cuspidal module, if every root vector of ${\mathfrak{sl}}_{n+1}$ acts injectively on it. In \c…