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Sur la stabilit{e} des int{e}grales orbitales nilpotentes

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 نشر من قبل Jean-Loup Waldspurger
 تاريخ النشر 2021
  مجال البحث
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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.

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