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 R of the Shi arrangement is (bijectively) labelled with a parking function lambda(R). In particular, we construct an algorithm that returns Rout of lambda(R). This is done by relating lambda to another bijection...

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Bibliographic Details
Main Author: Rui Duarte (author)
Other Authors: Antonio Guedes de Oliveira (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:https://repositorio-aberto.up.pt/handle/10216/116940
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/116940