5 papers
Hadamard Products of dual Jacobi-Trudi matrices
Robert Angarone, Jang Soo Kim, Jaeseong Oh +1
We study positivity properties of Hadamard products of Jacobi-Trudi matrices. Maló proved that the Hadamard (entrywise) product of two totally positive upper-triangular Toeplitz ma…
Generalized Diagonals in Positive Semi-Definite Matrices
Robert Angarone, Daniel Soskin
We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This pr…
Superspace coinvariants and hyperplane arrangements
Robert Angarone, Patricia Commins, Trevor Karn +2
Let be the {\em superspace ring} of polynomial-valued differential forms on affine -space. The natural action of the symmetric group on -space induces an…
Cylindrical Networks and Total Nonnegativity
Robert Angarone
We prove that an infinite block-Toeplitz matrix with finite diagonal support is totally nonnegative if and only if it is the weight matrix of a cylindrical network. This generalize…
Chow Rings of Matroids as Permutation Representations
Robert Angarone, Anastasia Nathanson, Victor Reiner
Given a matroid and a group of its matroid automorphisms, we study the induced group action on the Chow ring of the matroid. This turns out to always be a permutation action. Work…