Local newforms and spherical characters for unitary groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911798259613696 |
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| author | Dang, Gefei |
| author_facet | Dang, Gefei |
| contents | We prove a smooth transfer statement analogous to Jacquet-Rallis's fundamental lemma, use it to compute a local spherical character appearing in the Ichino-Ikeda conjecture, and prove a statement on the existence of local newforms for unitary groups as a corollary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17700 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local newforms and spherical characters for unitary groups Dang, Gefei Representation Theory Number Theory We prove a smooth transfer statement analogous to Jacquet-Rallis's fundamental lemma, use it to compute a local spherical character appearing in the Ichino-Ikeda conjecture, and prove a statement on the existence of local newforms for unitary groups as a corollary. |
| title | Local newforms and spherical characters for unitary groups |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2311.17700 |