Cuspidal cohomology for $GL(n)$ over a number field
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916668143304704 |
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| author | Darshan, Nasit Raghuram, A. |
| author_facet | Darshan, Nasit Raghuram, A. |
| contents | The main result of this article proves the nonvanishing of cuspidal cohomology for $GL(n)$ over a number field which is Galois over its maximal totally real subfield. The proof uses the internal structure of a strongly-pure weight that can possibly support cuspidal cohomology and the foundational work of Borel, Labesse, and Schwermer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10859 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cuspidal cohomology for $GL(n)$ over a number field Darshan, Nasit Raghuram, A. Number Theory Representation Theory 11F75, 11F70, 22E41, 22E55 The main result of this article proves the nonvanishing of cuspidal cohomology for $GL(n)$ over a number field which is Galois over its maximal totally real subfield. The proof uses the internal structure of a strongly-pure weight that can possibly support cuspidal cohomology and the foundational work of Borel, Labesse, and Schwermer. |
| title | Cuspidal cohomology for $GL(n)$ over a number field |
| topic | Number Theory Representation Theory 11F75, 11F70, 22E41, 22E55 |
| url | https://arxiv.org/abs/2407.10859 |