A categorification of representations of $U_q({\mathfrak{gl}}_{1|1})$

Alexei Oblomkov, Lev Rozansky

We categorify the action of $U_q({\mathfrak{gl}}_{1|1})$ on the tensor product of its vector representations $({\mathbb{C}}^{1|1}{)}^{\otimes N}$. The generators $E$ and $F$ are represen…