Fence Posets, Good Gradings and Frobenius Maximal Parabolics

Anthony Giaquinto, John Irving, Aaron Lauve +1

Let $\mathfrak{L}$ be a Frobenius maximal parabolic subalgebra of ${\mathfrak{sl}}_n$. For any $F\in {\mathfrak{L}}^{\ast }$ for which the Kirillov form $B_F(x,y)=F([x,y])$ is non-degenerate, l…