Varieties for Modules of Quantum Elementary Abelian Groups

Julia Pevtsova, Sarah Witherspoon

We define a rank variety for a module of a noncocommutative Hopf algebra $A=\Lambda ⋊G$ where $\Lambda =k[X_1,...,X_m]/(X_1^{\ell },...,X_m^{\ell })$, $G = ({\mathbb Z}/\ell{\mathbb…