Séminaire Lotharingien de Combinatoire, B54Ai (2006), 12 pp.

Thomas Lam and Mark Shimozono

A Little Bijection for Affine Stanley Symmetric Functions

Abstract. 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].

Received: January 20, 2006. Accepted: November 10, 2006. Final Version: November 12, 2006.

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