3 papers
math.AC2025
Companion matrices, permutations and lattice ideals
Nsibiet E. Udo, Praise Adeyemo
This paper investigates a novel connection between reductions of companion matrices associated with a symmetric family of certain binomial ideals in the coordinate ring of affine n…
math.AC2024
Ideals, representations and a symmetrised Bernoulli triangle
Nsibiet E. Udo, Praise Adeyemo, Balazs Szendroi +1
We study some representations of symmetric groups arising from a certain ideal in the coordinate ring of affine n-space. Our results give graded and representation-theoretic enhanc…
math.CO2022
Refined Ehrhart series and bigraded rings
Praise Adeyemo, Balazs Szendroi
We study a natural set of refinements of the Ehrhart series of a closed polytope, first considered by Chapoton. We compute the refined series in full generality for a simplex of di…