Correspondance de Jacquet-Langlands étendue à toutes les représentations

Details Correspondance de Jacquet-Langlands étendue à toutes les représentations Correspondance de Jacquet-Langlands étendue à toutes les représentations

2002-01-16

arxiv.org/abs/math/0201142v2

Mathematics

Group Theory

Scientific paper

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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