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math.CO2025
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…
math.CO2021
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,…
math.CO2018
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…