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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2401.04989 |
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| _version_ | 1866913274304397312 |
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| author | Li, Tzu-Jan |
| author_facet | Li, Tzu-Jan |
| contents | For $G = \mathrm{GL}_n$ or $\mathrm{U}_n$ defined over a finite field of characteristic $p$, we refine a result of Bonnafé and Kessar on the saturatedness of the Curtis homomorphism $\mathrm{Cur}^G$ by describing the image of $\mathrm{Cur}^G$ over $\overline{\mathbb{Z}}[1/p]$ via a system of linear conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04989 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On integral images of Curtis homomorphisms for $\mathrm{GL}_n$ and $\mathrm{U}_n$ Li, Tzu-Jan Representation Theory For $G = \mathrm{GL}_n$ or $\mathrm{U}_n$ defined over a finite field of characteristic $p$, we refine a result of Bonnafé and Kessar on the saturatedness of the Curtis homomorphism $\mathrm{Cur}^G$ by describing the image of $\mathrm{Cur}^G$ over $\overline{\mathbb{Z}}[1/p]$ via a system of linear conditions. |
| title | On integral images of Curtis homomorphisms for $\mathrm{GL}_n$ and $\mathrm{U}_n$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2401.04989 |