  We consider a hyperplane arrangement in $\mathbb{C}^n$ defined over
$\mathbb{R}$, and the associated natural stratification of $\mathbb{C}^n$. The
category of perverse sheaves smooth with respect to this stratification was
described by Kapranov and Schechtman in terms of quiver representations. Using
work of Weissman, we reinterpret this category as the category of
finite-dimensional modules over an explicit algebra. We also describe
recollement (open-closed decomposition) of perverse sheaves in terms of this
module category. As an application, we identify the modules associated to all
intersection cohomology complexes.
  We also compute recollement for $W$-equivariant perverse sheaves for the
reflection arrangement of a finite Coxeter group $W$. We identify the
equivariant intersection cohomology sheaves arising as intermediate extensions
of local systems on the open stratum, thereby answering a question of Weissman.
