Sur les représentations elliptiques du groupe $\mathit{SL}(n)$ $p$-adique

Abstract

The paper is devoted to classify all irreducible tempered representations of $\mathit{SL}(n)$ $p$-adic which appear in the spectral side of J. Arthur's local trace formula. We give description of such representations which are elliptic or irreducibly induced from elliptic representations of proper Levi subgroups with certain condition on the Weyl group.