  We associate to a sufficiently generic oriented matroid program and choice of
linear system of parameters a finite dimensional algebra, whose representation
theory is analogous to blocks of Bernstein--Gelfand--Gelfand category
$\mathcal{O}$. When the data above comes from a generic linear program for a
hyperplane arrangement, we recover the algebra defined by
Braden--Licata--Proudfoot--Webster.
