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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2508.15120 |
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Table des matières:
- Let $S^B_n$ be the Coxeter group of type B. We denote the set of indices where $σ\in S^B_n$ has a peak as $Peak(σ)$ and let $P^{B}(S;n)=\{σ\in S^{B}_n~|~ Peak(σ)=S\}$. In \cite{metrics}, Diaz-Lopez, Haymaker, Keough, Park and White considered metrics for unsigned permutations with the same peak set. In this paper, we generalize their result by studying Hamming, $l_{\infty}$, and the word metrics on $P^{B}(S;n)$ for all $S$. We also determine the minimum and maximum possible values that these metrics can achieve in these subsets of $S^B_n$.