2 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…