Utilize este identificador para referenciar este registo:
https://hdl.handle.net/10216/116995
Autor(es): | Duarte, R António Guedes de Oliveira |
Título: | Between Shi and Ish |
Data de publicação: | 2018 |
Resumo: | We introduce a new family of hyperplane arrangements in dimension n > 3 that includes both the Shi arrangement and the Ish arrangement. We prove that all the members of a given subfamily have the same number of regions - the connected components of the complement of the union of the hyperplanes - which can be bijectively labeled with the Pak-Stanley labeling. In addition, we show that, in the cases of the Shi and the Ish arrangements, the number of labels with reverse centers of a given length is equal, and conjecture that the same happens with all of the members of the family. |
URI: | https://hdl.handle.net/10216/116995 |
Tipo de Documento: | Artigo em Revista Científica Internacional |
Condições de Acesso: | restrictedAccess |
Aparece nas coleções: | FCUP - Artigo em Revista Científica Internacional |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
215881.pdf Restricted Access | Between Ish and Shi | 388.14 kB | Adobe PDF | Request a copy from the Author(s) |
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