Year: 2026
Type: article
Abstract: The paper concerns the coarse flag Hilbert-Poincaré series of Maglione and Voll in the case of the braid arrangement $\mathcal{B}_{n}$ associated with the symmetric group $\mathfrak{S}_{n+1}$. We explicitly construct a companion statistic ino: $\mathfrak{S}_{n+1}\times Sym(n)\rightarrow\mathbb{N}$ for the descent statistic on $Sym(n)$ using reverse $(P,\omega)$-partitions and quasisymmetric functions.
Source: Journal of Combinatorics
Authors: Elena Hoster, Christian Stump
Institution: Ruhr University Bochum
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4407439136