4 papers
Varieties of chain complexes and mixed dimer covers
Portia X. Anderson, Esther Banaian, Melanie J. Ferreri +3
A quiver representation consists of a collection of vector spaces along with a set of arrows, which are linear maps between these spaces. In this work, we study quiver representati…
The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order
Portia X. Anderson, Esther Banaian, Melanie J. Ferreri +7
For integral weights and of a classical simple Lie algebra , Kostant's weight multiplicity formula gives the multiplicity of the weight in the irreducible…
Commutative Properties of Schubert Puzzles with Convex Polygonal Boundary Shapes
Portia Anderson
We generalize classical triangular Schubert puzzles to puzzles with convex polygonal boundary. We give these puzzles a geometric Schubert calculus interpretation and derive novel c…
Generalized splines on graphs with two labels and polynomial splines on cycles
Portia Anderson, Jacob P. Matherne, Julianna Tymoczko
Generalized splines are an algebraic combinatorial framework that generalizes and unifies various established concepts across different fields, most notably the classical notion of…