Séminaire lotharingien de combinatoire, Tome 56 (2006-2007)
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Jim Haglund; Laura Stevens. An Extension of the Foata Map to Standard Young Tableaux. Séminaire lotharingien de combinatoire, Tome 56 (2006-2007). http://geodesic.mathdoc.fr/item/SLC_2006-2007_56_a2/
@article{SLC_2006-2007_56_a2,
author = {Jim Haglund and Laura Stevens},
title = {An {Extension} of the {Foata} {Map} to {Standard} {Young} {Tableaux}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2006-2007},
volume = {56},
url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_56_a2/}
}
TY - JOUR
AU - Jim Haglund
AU - Laura Stevens
TI - An Extension of the Foata Map to Standard Young Tableaux
JO - Séminaire lotharingien de combinatoire
PY - 2006-2007
VL - 56
UR - http://geodesic.mathdoc.fr/item/SLC_2006-2007_56_a2/
ID - SLC_2006-2007_56_a2
ER -
%0 Journal Article
%A Jim Haglund
%A Laura Stevens
%T An Extension of the Foata Map to Standard Young Tableaux
%J Séminaire lotharingien de combinatoire
%D 2006-2007
%V 56
%U http://geodesic.mathdoc.fr/item/SLC_2006-2007_56_a2/
%F SLC_2006-2007_56_a2
We define an inversion statistic on standard Young tableaux. We prove that this statistic has the same distribution over SYT(\lambda) as the major index statistic by exhibiting a bijection on SYT(\lambda) in the spirit of the Foata map on permutations.
