Promotion on Generalized Oscillating Tableaux and Web Rotation
Séminaire lotharingien de combinatoire, 80B (2018)
Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website
We introduce the notion of a generalized oscillating tableau and define a promotion operation on such tableaux that generalizes the classical promotion operation on standard Young tableaux. As our main application, we show that this promotion corresponds to rotation of the irreducible A2-webs of G. Kuperberg.
@article{SLC_2018_80B_a0,
author = {Rebecca Patrias},
title = {Promotion on {Generalized} {Oscillating} {Tableaux} and {Web} {Rotation}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {80B},
year = {2018},
url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a0/}
}
Rebecca Patrias. Promotion on Generalized Oscillating Tableaux and Web Rotation. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a0/