4 citations · 7 across the 4 of their papers we have counts for
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Regularity of S_n-invariant monomial ideals
Claudiu Raicu
For a polynomial ring S in n variables, we consider the natural action of the symmetric group S_n on S by permuting the variables. For an S_n-invariant monomial ideal I in S and j…
Computing Schur complexes
Michael K. Brown, Hang Huang, Robert P. Laudone +4
We describe a Macaulay2 package for computing Schur complexes. This package expands on the ChainComplexOperations package by David Eisenbud.
Syzygies of determinantal thickenings and representations of the general linear Lie superalgebra
Claudiu Raicu, Jerzy Weyman
We let S denote the ring of polynomial functions on the space of m x n matrices, and consider the action of the group GL = GL_m x GL_n via row and column operations on the matrix e…
Iterated local cohomology groups and Lyubeznik numbers for determinantal rings
András C. Lőrincz, Claudiu Raicu
We give an explicit recipe for determining iterated local cohomology groups with support in ideals of minors of a generic matrix in characteristic zero, expressing them as direct s…
Homological invariants of determinantal thickenings
Claudiu Raicu
The study of homological invariants such as Tor, Ext and local cohomology modules constitutes an important direction in commutative algebra. Explicit descriptions of these invarian…
Equivariant D-modules on binary cubic forms
András C. Lőrincz, Claudiu Raicu, Jerzy Weyman
We consider the space X = Sym^3(C^2) of binary cubic forms, equipped with the natural action of the group GL_2 of invertible linear transformations of C^2. We describe explicitly t…