The braid and the Shi arrangements and the Pak–Stanley labelling

In this article we study a construction, due to Pak and Stanley, with which every region RR of the Shi arrangement is (bijectively) labelled with a parking function λ(R). In particular, we construct an algorithm that returns R out of λ(R). This is done by relating λ to another bijection, that labels...

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Bibliographic Details
Main Author: Duarte, Rui (author)
Other Authors: Guedes de Oliveira, António (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/15081
Country:Portugal
Oai:oai:ria.ua.pt:10773/15081