On the geometric side of the Jacquet-Rallis relative trace formula
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913476450975744 |
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| author | Lu, Weixiao |
| author_facet | Lu, Weixiao |
| contents | We study some aspects of the geometric side of the Jacquet-Rallis relative trace formula. Globally, we compute each geometric term of the Jacquet-Rallis relative trace formula on the general linear group for regular supported test functions. We prove that it can be described by the regular orbital integral. Locally, we show that the regular orbital integral can be compared with the semisimple orbital integral on the unitary group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14952 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the geometric side of the Jacquet-Rallis relative trace formula Lu, Weixiao Representation Theory Number Theory We study some aspects of the geometric side of the Jacquet-Rallis relative trace formula. Globally, we compute each geometric term of the Jacquet-Rallis relative trace formula on the general linear group for regular supported test functions. We prove that it can be described by the regular orbital integral. Locally, we show that the regular orbital integral can be compared with the semisimple orbital integral on the unitary group. |
| title | On the geometric side of the Jacquet-Rallis relative trace formula |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2407.14952 |