On the Face Map of the Admissible Set With Iwahori Level
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917499371520000 |
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| author | Yu, Qingchao |
| author_facet | Yu, Qingchao |
| contents | To each face $\mathcal{F}$ of the coweight polytope $\mathcal{P}_μ$, we associate a subset $\text{Adm}(μ)_{\mathcal{F}}$ of the $μ$-admissible set $\text{Adm}(μ)$, which we refer to as a face of $\text{Adm}(μ)$. This gives rise to a face decomposition of $\text{Adm}(μ)$. As an application, we give a complete description of the fibers of the face map $|Δ|^f$ defined by Pappas-Rapoport and prove that the face map is surjective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15657 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Face Map of the Admissible Set With Iwahori Level Yu, Qingchao Number Theory Representation Theory 11G25, 20G25 To each face $\mathcal{F}$ of the coweight polytope $\mathcal{P}_μ$, we associate a subset $\text{Adm}(μ)_{\mathcal{F}}$ of the $μ$-admissible set $\text{Adm}(μ)$, which we refer to as a face of $\text{Adm}(μ)$. This gives rise to a face decomposition of $\text{Adm}(μ)$. As an application, we give a complete description of the fibers of the face map $|Δ|^f$ defined by Pappas-Rapoport and prove that the face map is surjective. |
| title | On the Face Map of the Admissible Set With Iwahori Level |
| topic | Number Theory Representation Theory 11G25, 20G25 |
| url | https://arxiv.org/abs/2605.15657 |