3 citations · 7 across the 8 of their papers we have counts for
9 papers
Configuration spaces and peak representations
Marcelo Aguiar, Sarah Brauner, Victor Reiner
Within the group algebras of the symmetric and hyperoctahedral groups, one has their descent algebras and families of Eulerian idempotents. These idempotents are known to generate…
Wondertopes
Sarah Brauner, Christopher Eur, Elizabeth Pratt +1
Positive geometries were introduced by Arkani-Hamed--Bai--Lam as a method of computing scattering amplitudes in theoretical physics. We show that a positive geometry from a polytop…
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…
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…
Invariant Theory for the free left-regular band and a q-analogue
Sarah Brauner, Patricia Commins, Victor Reiner
We examine from an invariant theory viewpoint the monoid algebras for two monoids having large symmetry groups. The first monoid is the free left-regular band on letters, defin…
A Type B analog of the Whitehouse representation
Sarah Brauner
We give a Type analog of Whitehouse's lifts of the Eulerian representations from to by introducing a family of -representations that lift to . A…
Eulerian representations for real reflection groups
Sarah Brauner
The Eulerian idempotents, first introduced for the symmetric group and later extended to all reflection groups, generate a family of representations called the Eulerian representat…
Enumerating linear systems on graphs
Sarah Brauner, Forrest Glebe, David Perkinson
The divisor theory of graphs views a finite connected graph as a discrete version of a Riemann surface. Divisors on are formal integral combinations of the vertices of ,…
A simplified presentation of Specht modules
Sarah Brauner, Tamar Friedmann
Fulton and Kraskiewicz gave a presentation of Specht modules as a quotient of the space of column tabloids by dual Garnir relations. We simplify this presentation by showing that i…