10 citations · 19 across the 10 of their papers we have counts for
15 papers
Ribbon complexes for the 0-Hecke algebra
Ayah Almousa, Bryan Lu
We construct explicit tableau-level maps between indecomposable projective modules for the type A 0-Hecke algebra that assemble into canonical split short exact sequences lifting t…
Koszulity, supersolvability, and Stirling representations
Ayah Almousa, Victor Reiner, Sheila Sundaram
Supersolvable hyperplane arrangements and matroids are known to give rise to certain Koszul algebras, namely their Orlik-Solomon algebras and graded Varchenko-Gel'fand algebras. We…
The MatrixSchubert package for Macaulay2
Ayah Almousa, Sean Grate, Daoji Huang +4
We introduce the MatrixSchubert package for the computer algebra system Macaulay2. This package has tools to construct and study matrix Schubert varieties and alternating sign matr…
Standard Monomials for Positroid Varieties
Ayah Almousa, Shiliang Gao, Daoji Huang
We give an explicit characterization of the standard monomials for positroid varieties with respect to the Hodge degeneration and give a Gröbner basis. Furthermore, we show that pr…
Equivariant resolutions over Veronese rings
Ayah Almousa, Michael Perlman, Alexandra Pevzner +2
Working in a polynomial ring where is an arbitrary commutative ring with , we consider the Veronese subalgebras ,…
Alexander duals of symmetric simplicial complexes and Stanley-Reisner Ideals
Ayah Almousa, Kaitlin Bruegge, Martina Juhnke-Kubitzke +2
Given an ascending chain of $\Sym$-invariant squarefree monomial ideals, we study the corresponding chain of Alexander duals .…