A Little Bijection for Affine Stanley Symmetric Functions
Séminaire lotharingien de combinatoire, 54A (2005-2007)

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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].

@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},
     publisher = {mathdoc},
     volume = {54A},
     year = {2005-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2005-2007_54A_a8/}
}
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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/