On rank functions for heaps

R. M. Green

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On rank functions for heaps

R. M. Green

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Abstract

Motivated by work of Stembridge, we study rank functions for Viennot's heaps of pieces. We produce a simple and sufficient criterion for a heap to be a ranked poset and apply the results to the heaps arising from fully commutative words in Coxeter groups.

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R. M. Green. 2003-02-27. On rank functions for heaps. https://arxiv.org/abs/math/0302347

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