Correspondance de Jacquet-Langlands pour les corps locaux de caractéristique non nulle

Details Correspondance de Jacquet-Langlands pour les corps locaux de caractéristique non nulle Correspondance de Jacquet-Langlands pour les corps locaux de caractéristique non nulle

2002-01-14

arxiv.org/abs/math/0201117v1

Mathematics

Group Theory

to appear in Annales Scientifiques de l'\'Ecole Normale Sup\'erieure

Scientific paper

We prove the Jacquet-Langlands local correspondence in non-zero
characteristic, using the proof by Deligne, Kazhdan and Vign\'eras for the zero
characteristic case and the theory of closed fields of Kazhdan. We also prove
the orthogonality relations for an inner form of $GL_n$ in non-zero
characteristic.

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