Exceptional supercuspidal representations in small residue characteristic
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914410865360896 |
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| author | Fam, Yiannis |
| author_facet | Fam, Yiannis |
| contents | In this paper, in residue characteristic 2 and 3, we extend the construction of epipelagic representations of Reeder--Yu to produce new supercuspidals of higher depth, building on work of Gastineau. In particular, we produce examples of epipelagic representations that do not arise from the construction of Reeder--Yu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14121 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exceptional supercuspidal representations in small residue characteristic Fam, Yiannis Representation Theory Number Theory 22E50 In this paper, in residue characteristic 2 and 3, we extend the construction of epipelagic representations of Reeder--Yu to produce new supercuspidals of higher depth, building on work of Gastineau. In particular, we produce examples of epipelagic representations that do not arise from the construction of Reeder--Yu. |
| title | Exceptional supercuspidal representations in small residue characteristic |
| topic | Representation Theory Number Theory 22E50 |
| url | https://arxiv.org/abs/2602.14121 |