A determinantal formula for the Hilbert series of one-sided ladder determinantal rings
Christian Krattenthaler, Martin Rubey
Abstract
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.
Create a lesson
Related papers
On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-II
Tony J. Puthenpurakal
Symbolic powers of the ideal ofn general points in Pn-1
Ralf Fröberg, Boris Shapiro
Density functions for filtrations of graded ideals
Suprajo Das, Hoang Le Truong
Finitistic injective dimension exceeding finitistic projective dimension for a commutative ring
Liang Chen
A criterion for determinantal presentations of numerical semigroup rings
Satoshi Murai, Kou Takahashi
Normality of ideals beyond the standard graded setting: families from numerical semigroup rings
Naoyuki Matsuoka