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Tower tableaux and Schubert polynomials (1303.7389v2)
Published 29 Mar 2013 in math.CO
Abstract: We prove that the well-known condition of being a balanced labeling can be characterized in terms of the sliding algorithm on tower diagrams. The characterization involves a generalization of authors' Rothification algorithm. Using the characterization, we obtain descriptions of Schubert polynomials and Stanley symmetric functions.
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