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1 IMJ - Institut de Mathématiques de Jussieu

Abstract : The local trace formula gives strong relations between two types of invariant distributions on a reductive group defined over a local field: orbital integrals and characters of representations. For connected reductive groups, the formula was proved by J. Arthur. We extend the formula to twisted spaces, that is, roughly speaking, to non-connected reductive groups. The formula has the same consequences as in the connected case. In particular, we compute the elliptic product of tempered elliptic twisted representations.

Mots-clés : caractères de représentations tordues formule des traces locale tordue intégrales orbitales tordues caractères de représentations tordues.





Author: Jean-Loup Waldspurger -

Source: https://hal.archives-ouvertes.fr/



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