%0 Journal Article
%T A determinantal formula for the Hilbert series of one-sided ladder determinantal rings
%A Christian Krattenthaler
%A Martin Rubey
%J Mathematics
%D 2001
%I arXiv
%X We give a formula that expresses the Hilbert series of one-sided ladder determinantal rings, up to a trivial factor, in form of a determinant. This allows the convenient computation of these Hilbert series. The formula follows from a determinantal formula for a generating function for families of nonintersecting lattice paths that stay inside a one-sided ladder-shaped region, in which the paths are counted with respect to turns.
%U http://arxiv.org/abs/math/0106076v3