9 citations · 21 across the 10 of their papers we have counts for
10 papers · 1 filter
Cyclic Sieving for Staircase Plane Partitions via Crystals and Electrical Networks
Sam Hopkins, Jesse Kim, Stephan Pfannerer
We prove a cyclic sieving result for the action of promotion on the staircase plane partitions of height two. Our proof has two major algebraic inputs: an interpretation of this pr…
Super Major Index Cyclic Sieving
Stephan Pfannerer
Recently, Armon and Swanson introduced signed standard tableaux and a corresponding super major index that refines the classical major index. In this paper, we prove that signed st…
Promotion permutations and the Robinson--Schensted correspondence
Stephan Pfannerer, Joshua P. Swanson
Promotion permutations have recently been associated to each rectangular standard Young tableau by Gaetz--Pechenik--Pfannerer--Striker--Swanson. Here we relate promotion permutatio…
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…
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…
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…
A Refinement of the Murnaghan-Nakayama Rule by Descents for Border Strip Tableaux
Stephan Pfannerer
Lusztig's fake degree is the generating polynomial for the major index of standard Young tableaux of a given shape. Results of Springer and James & Kerber imply that, mysteriously,…
Skew characters and cyclic sieving
Per Alexandersson, Stephan Pfannerer, Martin Rubey +1
In 2010, B. Rhoades proved that promotion together with the fake-degree polynomial associated with rectangular standard Young tableaux give an instance of the cyclic sieving phenom…
Promotion on oscillating and alternating tableaux and rotation of matchings and permutations
Stephan Pfannerer, Martin Rubey, Bruce W. Westbury
Using Henriques' and Kamnitzer's cactus groups, Schützenberger's promotion and evacuation operators on standard Young tableaux can be generalised in a very natural way to operators…