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| Format: | Preprint |
| Publié: |
2019
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| Accès en ligne: | https://arxiv.org/abs/1902.02018 |
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| _version_ | 1866912287296585728 |
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| author | Xu, Peng |
| author_facet | Xu, Peng |
| contents | Let $G$ be the unramified unitary group $U(2, 1)(E/F)$ defined over a non-archimedean local field $F$ of odd residue characteristic $p$, and $B$ be the standard Borel subgroup of $G$. In this note, we study the problem of the restriction of irreducible smooth $\overline{\mathbf{F}}_p$-representations of $G$ to $B$, and we obtain various results which are analogous to that of Pa$\check{\text{s}}$k$\bar{\text{u}}$nas on $GL_2 (F)$ (\cite{Pas07}). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_02018 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Restriction of $p$-modular representations of $U(2, 1)$ to a Borel subgroup Xu, Peng Representation Theory 22E50, 11F70 Let $G$ be the unramified unitary group $U(2, 1)(E/F)$ defined over a non-archimedean local field $F$ of odd residue characteristic $p$, and $B$ be the standard Borel subgroup of $G$. In this note, we study the problem of the restriction of irreducible smooth $\overline{\mathbf{F}}_p$-representations of $G$ to $B$, and we obtain various results which are analogous to that of Pa$\check{\text{s}}$k$\bar{\text{u}}$nas on $GL_2 (F)$ (\cite{Pas07}). |
| title | Restriction of $p$-modular representations of $U(2, 1)$ to a Borel subgroup |
| topic | Representation Theory 22E50, 11F70 |
| url | https://arxiv.org/abs/1902.02018 |