Correspondance de Howe et sous-groupes parahoriques.
Conservation de la ramification modérée par la correspondance de Howe
A reverse engineering approach to the Weil representation
We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.
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