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Pak-Stanley labeling of the m-Catalan hyperplane arrangement

Advances in Mathematics

Abstract

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.

Rui Duarte

Publication

Year of publication: 2021

Issue: 387

Pages: 17

Date published: 08/2021

Identifiers

ISSN: 18578365

Alternative Titles

Preprint

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