From the 1 of 6 linked papers with an AI index.
6 papers
Cyclic Sieving for Staircase Plane Partitions via Crystals and Electrical Networks
Sam Hopkins, Jesse Kim, Stephan Pfannerer
The paper proves a cyclic sieving phenomenon for the promotion action on height‑two staircase plane partitions, using spin crystal representations and the bush basis of the electri…
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…
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…