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April 26, 200429 citationsOpen Access

Le lemme fondamental pour les groupes unitaires

GLGérard LaumonBNB. C. Ngô

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Abstract

Let G be an unramified reductive group over a non archimedian local field F. The so-called "Langlands Fundamental Lemma" is a family of conjectural identities between orbital integrals for G (F) and orbital integrals for endoscopic groups of G. In this paper we prove the Langlands fundamental lemma in the particular case where F is a finite extension of Fₚ ( (t) ), G is a unitary group and p>rank (G). Waldspurger has shown that this particular case implies the Langlands fundamental lemma for unitary groups of rank

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Cite This Study

Laumon et al. (2004) studied this question.

synapsesocial.com/papers/6a0fefecd13714ec96fedb75https://doi.org/10.48550/arxiv.math/0404454
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