Le lemme fondamental pondéré pour le groupe métaplectique

Details Le lemme fondamental pondéré pour le groupe métaplectique Le lemme fondamental pondéré pour le groupe métaplectique

2010-06-24

arxiv.org/abs/1006.4780v1

Mathematics

Representation Theory

41 pages

Scientific paper

We state a variant of Arthur's weighted fundamental lemma for the metaplectic group of Weil, which will be an essential ingredient of the stable trace formula. Over a local field of large enough residual characteristic, we give a proof using the method of descent, which is conditional upon the weighted nonstandard fundamental lemma on Lie algebras. In view of the works of Chaudouard and Laumon, this condition is expected to hold.

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