121 citations · 1.4k across the 88 of their papers we have counts for
91 papers
Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux
Joseph Pappe, Stephan Pfannerer, Anne Schilling +1
We construct an injection from the set of -fans of Dyck paths (resp. vacillating tableaux) of length into the set of chord diagrams on that intertwines promotion and r…
The Burge correspondence and crystal graphs
Joseph Pappe, Digjoy Paul, Anne Schilling
The Burge correspondence yields a bijection between simple labelled graphs and semistandard Young tableaux of threshold shape. We characterize the simple graphs of hook shape by pe…
Plethysm and the algebra of uniform block permutations
Rosa Orellana, Franco Saliola, Anne Schilling +1
We study the representation theory of the uniform block permutation algebra in the context of the representation theory of factorizable inverse monoids. The uniform block permutati…
Decidability of Krohn-Rhodes complexity of finite semigroups and automata
Stuart Margolis, John Rhodes, Anne Schilling
When decomposing a finite semigroup into a wreath product of groups and aperiodic semigroups, complexity measures the minimal number of groups that are needed. Determining an algor…
An area-depth symmetric -Catalan polynomial
Joseph Pappe, Digjoy Paul, Anne Schilling
We define two symmetric -Catalan polynomials in terms of the area and depth statistic and in terms of the dinv and dinv of depth statistics. We prove symmetry using an involut…
Uncrowding algorithm for hook-valued tableaux
Jianping Pan, Joseph Pappe, Wencin Poh +1
Whereas set-valued tableaux are the combinatorial objects associated to stable Grothendieck polynomials, hook-valued tableaux are associated to stable canonical Grothendieck polyno…