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math.CO2023★ 1 cited
Left Regular Bands of Groups and the Mantaci--Reutenauer algebra
Jose Bastidas, Sarah Brauner, Franco Saliola
We develop the idempotent theory for algebras over a class of semigroups called left regular bands of groups (LRBGs), which simultaneously generalize group algebras of finite group…
math.CO2023
A Three-Regime Theorem for Flow-Firing
Sarah Brauner, Galen Dorpalen-Barry, Selvi Kara +2
Graphical chip-firing is a discrete dynamical system where chips are placed on the vertices of a graph and exchanged via simple firing moves. Recent work has sought to generalize c…