  We study the Poincare polynomials of isotypic components of a natural family
of graded GL(n)-modules supported in the closure of a nilpotent conjugacy
class. These polynomials generalize the Kostka-Foulkes and are q-analogues of
Littlewood-Richardson coefficients corresponding to arbitrary tensor products
of irreducibles. Many properties and formulas for these polynomials are
derived, such as a generalized Morris recurrence, q-Kostant formula, and a
conjectural formula in terms of catabolizable tableaux and charge.
