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arXiv · 1501.02362

Note on the bijectivity of the Pak-Stanley labelling

Rui Duarte·António Guedes de Oliveira
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Abstract

This article has the sole purpose of presenting a simple, self-contained and direct proof of the fact that the Pak-Stanley labeling is a bijection. The construction behind the proof is subsumed in a forthcoming paper [R. Duarte and A. Guedes de Oliveira, The braid and the Shi arrangements and the Pak-Stanley labeling, Eur. J. Combinatorics, in press.], but an actual self-contained proof is not explicitly included in that paper.

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Rui Duarte, António Guedes de Oliveira. 2015-01-10. Note on the bijectivity of the Pak-Stanley labelling. https://arxiv.org/abs/1501.02362

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