Determinants of incidence and Hessian matrices arising from the vector space lattice

Saeed Nasseh, Alexandra Seceleanu, Junzo Watanabe

Let $\mathcal{V}={⨆}_{i=0}^n{\mathcal{V}}_i$ be the lattice of subspaces of the $n$-dimensional vector space over the finite field ${\mathbb{F}}_q$ and let $\mathcal{A}$ be the g…