Stable distributions and nilpotent orbital integrals
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866912583738458112 |
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| author | Waldspurger, Jean-Loup |
| author_facet | Waldspurger, Jean-Loup |
| contents | Let G be a connected reductive group defined over a non-archimedean local field of characteristic 0. We assume G is quasi-split, adjoint and absolutly simple. Let g be the Lie algebra of G. We consider the space of the invariant distributions on g(F), which are stable and supported by the set of nilpotent elements of g(F). Magdy Assem has stated several conjectures which describe this space. We prove some of these conjectures, assuming that the residual characteristic of F is ''very large'' relatively to G. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_02373 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Stable distributions and nilpotent orbital integrals Waldspurger, Jean-Loup Representation Theory Let G be a connected reductive group defined over a non-archimedean local field of characteristic 0. We assume G is quasi-split, adjoint and absolutly simple. Let g be the Lie algebra of G. We consider the space of the invariant distributions on g(F), which are stable and supported by the set of nilpotent elements of g(F). Magdy Assem has stated several conjectures which describe this space. We prove some of these conjectures, assuming that the residual characteristic of F is ''very large'' relatively to G. |
| title | Stable distributions and nilpotent orbital integrals |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2109.02373 |