Some endoscopic properties of the essentially tame Jacquet-Langlands correspondence
Documenta mathematica, Tome 21 (2016), pp. 345-389
Let F be a non-Archimedean local field of characteristic 0 and G be an inner form of the general linear group G∗=GL_n over F. We show that the rectifying character appearing in the essentially tame Jacquet-Langlands correspondence of Bushnell and Henniart for G and G∗ can be factorized into a product of some special characters, called zeta-data in this paper, in the theory of endoscopy of Langlands and Shelstad. As a consequence, the essentially tame local Langlands correspondence for G can be described using admissible embeddings of L-tori.
Classification :
11F70, 11S37, 22E50
Mots-clés : endoscopy, essentially tame Jacquet-Langlands correspondence, inner forms, admissible pairs, zeta-data, admissible embeddings
Mots-clés : endoscopy, essentially tame Jacquet-Langlands correspondence, inner forms, admissible pairs, zeta-data, admissible embeddings
@article{10_4171_dm_536,
author = {Kam-Fai Tam},
title = {Some endoscopic properties of the essentially tame {Jacquet-Langlands} correspondence},
journal = {Documenta mathematica},
pages = {345--389},
year = {2016},
volume = {21},
doi = {10.4171/dm/536},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/536/}
}
Kam-Fai Tam. Some endoscopic properties of the essentially tame Jacquet-Langlands correspondence. Documenta mathematica, Tome 21 (2016), pp. 345-389. doi: 10.4171/dm/536
Cité par Sources :