  Let g be a semisimple Lie algebra with h a Cartan subalgebra. The orbit
method attempts to assign representations of g to orbits in g*. Orbital
varieties are particular Lagrangian subvarieties of such orbits which should
lead to highest weight representations of g. It is known that all unitary
highest weight representations can be obtained in this fashion. A hypersurface
orbital variety is one which is of codimension 1 in the nilradical of a
parabolic. Their classification for g = sl(n) obtains from general results.
Recently Benlolo and Sanderson conjectured the form of the (non-linear) element
describing such a variety. This paper proves that conjecture and further
constructs a simple module with integral highest weight which ``quantizes'' the
variety in the precise sense that the regular functions of its closure is given
a g module structure compatible (up to shift by the highest weight) with its h
module structure.
