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| Main Author: | |
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| Format: | Preprint |
| Published: |
2010
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1010.1654 |
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| _version_ | 1866916125253566464 |
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| author | Abdellatif, Ramla |
| author_facet | Abdellatif, Ramla |
| contents | Following what Barthel-Livné and Breuil made for GL(2,F), we study mod $p$ representations of SL(2,F) for F a complete non-archimedean local field of residual characteristic p and with finite residue field. In particular, we link these representations to the mod p representations of GL(2,F) and, when F = Q_p, we give an explicit description of the so-called supersingular representations, that do appear by packets of size at most 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1010_1654 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | Une étude des représentations modulo $p$ de SL(2,F) Abdellatif, Ramla Representation Theory Following what Barthel-Livné and Breuil made for GL(2,F), we study mod $p$ representations of SL(2,F) for F a complete non-archimedean local field of residual characteristic p and with finite residue field. In particular, we link these representations to the mod p representations of GL(2,F) and, when F = Q_p, we give an explicit description of the so-called supersingular representations, that do appear by packets of size at most 2. |
| title | Une étude des représentations modulo $p$ de SL(2,F) |
| topic | Representation Theory |
| url | https://arxiv.org/abs/1010.1654 |