Pak-Stanley labeling of the $m$-Catalan hyperplane arrangement

Autor: Duarte, Rui, de Oliveira, António Guedes
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: We characterize in simple terms the Pak-Stanley labels $\lambda(R)$ of the regions $R$ of the $m$-Catalan arrangement. We also propose a simple algorithm that returns $R$ from $\lambda(R)$. Finally, we characterize in close terms the labels of the relatively bounded regions.
Comment: 14 pages, 5 figures
Databáze: arXiv