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.
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| Format: | article |
| Language: | eng |
| Published: |
2021
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| Online Access: | http://hdl.handle.net/10773/31437 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/31437 |
| Summary: | 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. |
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