Classification of distinguished representations of GL(2)
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913915065073664 |
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| author | Matsumoto, Yuki |
| author_facet | Matsumoto, Yuki |
| contents | Let $F$ be a non-archimedean local field with odd residual characteristic, and let $H$ be a maximal torus of ${\rm GL}_2(F)$. In this paper, we will classify the irreducible $H$-distinguished representations of ${\rm GL}_2(F)$ by using Casselman's criteria for $p$-adic symmetric spaces developed by Kato-Takano. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22097 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of distinguished representations of GL(2) Matsumoto, Yuki Representation Theory Number Theory 22E50 (Primary), 11F70, 20G25 (Secondary) Let $F$ be a non-archimedean local field with odd residual characteristic, and let $H$ be a maximal torus of ${\rm GL}_2(F)$. In this paper, we will classify the irreducible $H$-distinguished representations of ${\rm GL}_2(F)$ by using Casselman's criteria for $p$-adic symmetric spaces developed by Kato-Takano. |
| title | Classification of distinguished representations of GL(2) |
| topic | Representation Theory Number Theory 22E50 (Primary), 11F70, 20G25 (Secondary) |
| url | https://arxiv.org/abs/2506.22097 |