Approche non-invariante de la correspondance de Jacquet-Langlands: analyse géométrique
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916437525790720 |
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| author | Lu, Yan-Der |
| author_facet | Lu, Yan-Der |
| contents | In this two-part series of articles, we present a new proof comparing the trace formula for a general linear group with that of one of its inner forms. Our methodology relies on the trace formula for Lie algebras, incorporating the notion of non-invariant transfer of test functions. In the appendix A, we provide a description of conjugacy classes of an inner form of a general linear group. In the appendix B, we provide explicit computations of Haar measures. This article focuses on the geometric side of the trace formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approche non-invariante de la correspondance de Jacquet-Langlands: analyse géométrique Lu, Yan-Der Representation Theory In this two-part series of articles, we present a new proof comparing the trace formula for a general linear group with that of one of its inner forms. Our methodology relies on the trace formula for Lie algebras, incorporating the notion of non-invariant transfer of test functions. In the appendix A, we provide a description of conjugacy classes of an inner form of a general linear group. In the appendix B, we provide explicit computations of Haar measures. This article focuses on the geometric side of the trace formula. |
| title | Approche non-invariante de la correspondance de Jacquet-Langlands: analyse géométrique |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2410.10059 |