Local newforms for generic representations of unramified even unitary groups I: Even conductor case
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929697411039232 |
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| author | Atobe, Hiraku |
| author_facet | Atobe, Hiraku |
| contents | In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integers, and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central characters. To do this, we use the local Gan-Gross-Prasad conjecture, the local Rankin-Selberg integrals, and the local theta correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_08174 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local newforms for generic representations of unramified even unitary groups I: Even conductor case Atobe, Hiraku Representation Theory Number Theory In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integers, and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central characters. To do this, we use the local Gan-Gross-Prasad conjecture, the local Rankin-Selberg integrals, and the local theta correspondence. |
| title | Local newforms for generic representations of unramified even unitary groups I: Even conductor case |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2307.08174 |