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arXiv · 1409.2841

Increasing tableaux and Narayana numbers

Timothy Pressey·Anna Stokke·Terry Visentin
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Abstract

We give a counting formula for the set of rectangular increasing tableaux in terms of generalized Narayana numbers. We define small $m$-Schröder paths and give a bijection between the set of increasing rectangular tableaux and small $m$-Schröder paths, generalizing a result of Pechenik [3]. Using $K$-jeu de taquin promotion, which was defined by Thomas and Yong [10], we give a cyclic sieving phenomenon for the set of increasing hook tableaux.

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Timothy Pressey, Anna Stokke, Terry Visentin. 2018-08-16. Increasing tableaux and Narayana numbers. https://arxiv.org/abs/1409.2841

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