1 citations · 1 across the 2 of their papers we have counts for
7 papers
Promotion digraphs
Rebecca Patrias, Oliver Pechenik, Jessica Striker
Work of Gaetz, Pechenik, Pfannerer, Striker, and Swanson (2024) introduced promotion permutations for a rectangular standard Young tableau . These promotion permutations encode…
Rotation-invariant web bases from hourglass plabic graphs
Christian Gaetz, Oliver Pechenik, Stephan Pfannerer +2
Webs give a diagrammatic calculus for spaces of tensor invariants. We introduce hourglass plabic graphs as a new avatar of webs, and use these to give the first rotation-invariant…
Mixed jeu de taquin and a problem of Soojin Cho
Santiago Estupiñán-Salamanca, Oliver Pechenik
Serrano (2010) introduced the shifted plactic monoid, governing Haiman's (1989) mixed insertion algorithm, as a type B analogue of the classical plactic monoid that connects jeu de…
Web bases in degree two from hourglass plabic graphs
Christian Gaetz, Oliver Pechenik, Stephan Pfannerer +2
Webs give a diagrammatic calculus for spaces of -tensor invariants, but intrinsic characterizations of web bases are only known in certain cases. Recently, we…
Promotion permutations for tableaux
Christian Gaetz, Oliver Pechenik, Stephan Pfannerer +2
In our companion paper, we develop a new -web basis. Basis elements are given by certain planar graphs and are constructed so that important algebraic operations can be perfo…
An inverse Grassmannian Littlewood-Richardson rule and extensions
Oliver Pechenik, Anna Weigandt
Chow rings of flag varieties have bases of Schubert cycles , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula f…