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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.19175 |
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| _version_ | 1866917919414288384 |
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| author | Hoster, Elena Stump, Christian |
| author_facet | Hoster, Elena Stump, Christian |
| contents | The paper concerns the coarse flag Hilbert-Poincaré series of Maglione-Voll in the case of the braid arrangement associated to the symmetric group. We explicitly construct a companion statistic $\operatorname{ino} : \mathfrak{S}_{n+1} \times \operatorname{Sym}(n) \rightarrow \mathbb{N}$ for the descent statistic on $\operatorname{Sym}(n)$ using reverse $(P,ω)$-partitions and quasisymmetric functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19175 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The coarse flag Hilbert-Poincaré series of the braid arrangement Hoster, Elena Stump, Christian Combinatorics 05A05, 06A07 The paper concerns the coarse flag Hilbert-Poincaré series of Maglione-Voll in the case of the braid arrangement associated to the symmetric group. We explicitly construct a companion statistic $\operatorname{ino} : \mathfrak{S}_{n+1} \times \operatorname{Sym}(n) \rightarrow \mathbb{N}$ for the descent statistic on $\operatorname{Sym}(n)$ using reverse $(P,ω)$-partitions and quasisymmetric functions. |
| title | The coarse flag Hilbert-Poincaré series of the braid arrangement |
| topic | Combinatorics 05A05, 06A07 |
| url | https://arxiv.org/abs/2402.19175 |