FFLV bases for covariant representations of $\mathfrak{gl}(m|n)$

Ibrahim Ahmad, Pranav Enugandla

We study the PBW filtration on covariant representations for the Lie superalgebra $\mathfrak{gl}(m|n)$. We prove for all covariant weights of the form $(\lambda |\mu ,0^{n-1})$, that there e…