An Arithmetic Invariant of the Jacquet-Langlands correspondence
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866914486968909824 |
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| author | Yang, Jun |
| author_facet | Yang, Jun |
| contents | We describe the local-global compatibility of local Plancherel measures and the Tamagawa measure under the Jacquet-Langlands correspondence. We apply the notion of densities of modules over a discrete group, which generalizes the dimensions over a discrete group. We prove that the global Jacquet-Langlands correspondence preserves the densities over principal arithmetic groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Arithmetic Invariant of the Jacquet-Langlands correspondence Yang, Jun Number Theory Representation Theory We describe the local-global compatibility of local Plancherel measures and the Tamagawa measure under the Jacquet-Langlands correspondence. We apply the notion of densities of modules over a discrete group, which generalizes the dimensions over a discrete group. We prove that the global Jacquet-Langlands correspondence preserves the densities over principal arithmetic groups. |
| title | An Arithmetic Invariant of the Jacquet-Langlands correspondence |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2405.18372 |