Intégrale orbitale pondérée via l'induite de Lusztig-Spaltenstein généralisée
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915235895443456 |
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| author | Lu, Yan-Der |
| author_facet | Lu, Yan-Der |
| contents | In this article, we present two novel approaches to constructing weighted orbital integrals of an inner form of a general linear group. Our method utilizes generalized Lustig-Spaltenstein induction. Furthermore, we will prove that a weighted orbital integral on the Lie algebra constitutes a tempered distribution. We also demonstrate that our new definitions and Arthur's original definition are consistent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07639 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intégrale orbitale pondérée via l'induite de Lusztig-Spaltenstein généralisée Lu, Yan-Der Representation Theory In this article, we present two novel approaches to constructing weighted orbital integrals of an inner form of a general linear group. Our method utilizes generalized Lustig-Spaltenstein induction. Furthermore, we will prove that a weighted orbital integral on the Lie algebra constitutes a tempered distribution. We also demonstrate that our new definitions and Arthur's original definition are consistent. |
| title | Intégrale orbitale pondérée via l'induite de Lusztig-Spaltenstein généralisée |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2504.07639 |