Patricia Commins

collaborators

3 papers

math.CO2025

Left regular bands with symmetry

Patricia Commins, Benjamin Steinberg

The representation theory of left regular band semigroup algebras is well-studied and known to have close connections with combinatorial topology, as established in the work of Mar…

math.CO2024

Invariant theory for the face algebra of the braid arrangement

Patricia Commins

The faces of the braid arrangement form a monoid. The associated monoid algebra -- the face algebra -- is well-studied, especially in relation to card shuffling and other Markov ch…

math.CO2024

Superspace coinvariants and hyperplane arrangements

Robert Angarone, Patricia Commins, Trevor Karn +2

Let $Ω$ be the {\em superspace ring} of polynomial-valued differential forms on affine $n$ -space. The natural action of the symmetric group $S_{n}$ on $n$ -space induces an…