Séminaire lotharingien de combinatoire, 54A (2005-2007)
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Thomas Lam; Mark Shimozono. A Little Bijection for Affine Stanley Symmetric Functions. Séminaire lotharingien de combinatoire, 54A (2005-2007). http://geodesic.mathdoc.fr/item/SLC_2005-2007_54A_a8/
@article{SLC_2005-2007_54A_a8,
author = {Thomas Lam and Mark Shimozono},
title = {A {Little} {Bijection} for {Affine} {Stanley} {Symmetric} {Functions}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2005-2007},
volume = {54A},
url = {http://geodesic.mathdoc.fr/item/SLC_2005-2007_54A_a8/}
}
TY - JOUR
AU - Thomas Lam
AU - Mark Shimozono
TI - A Little Bijection for Affine Stanley Symmetric Functions
JO - Séminaire lotharingien de combinatoire
PY - 2005-2007
VL - 54A
UR - http://geodesic.mathdoc.fr/item/SLC_2005-2007_54A_a8/
ID - SLC_2005-2007_54A_a8
ER -
%0 Journal Article
%A Thomas Lam
%A Mark Shimozono
%T A Little Bijection for Affine Stanley Symmetric Functions
%J Séminaire lotharingien de combinatoire
%D 2005-2007
%V 54A
%U http://geodesic.mathdoc.fr/item/SLC_2005-2007_54A_a8/
%F SLC_2005-2007_54A_a8
Little [Adv. Math. 174 (2003), 236-253] developed a combinatorial algorithm to study the Schur-positivity of Stanley symmetric functions and the Lascoux-Schützenberger tree. We generalize this algorithm to affine Stanley symmetric functions, which were introduced recently in [T. Lam: ``Affine Stanley symmetric functions," Amer. J. Math., to appear].