Pak-Stanley labeling of the m-Catalan hyperplane arrangement

We characterize in simple terms the Pak-Stanley labels λ(R) of the regions R of the m-Catalan arrangement. We also propose a simple algorithm that returns R from λ(R). Finally, we characterize in close terms the labels of the relatively bounded regions.

Bibliographic Details
Main Author: Duarte, Rui (author)
Other Authors: Guedes de Oliveira, António (author)
Format: article
Language:eng
Published: 2021
Subjects:
Pak-Stanley labeling
Catalan arrangement
Shi arrangement
Parking functions
Online Access:http://hdl.handle.net/10773/31437
Country:Portugal
Oai:oai:ria.ua.pt:10773/31437

Internet

http://hdl.handle.net/10773/31437

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