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Correspondance de Jacquet-Langlands étendue à toutes les représentations

Alexandru Ioan Badulescu
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Abstract

We propose a generalisation of the Jacquet-Langlands correspondence to the whole Grothendieck group of finite lenght admissible representations. As an application we prove some particular cases of the global Jacquet-Langlands correspondence, and that a class of representations of a inner form of GL_n over a p-adic field is unitarisable, which agree with some conjecture of Tadic.

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Alexandru Ioan Badulescu. 2003-04-08. Correspondance de Jacquet-Langlands étendue à toutes les représentations. https://arxiv.org/abs/math/0201142

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