Sur la contribution unipotente dans la formule des traces d'Arthur pour les groupes généraux linéaires
Abstract
The theme of the article is the study of the unipotent part of Arthur's trace formula for general linear groups. The case of regular (or "regular by blocks") unipotent orbits has been essentially done in a previous paper. Here we are interested by the contribution of Richardson orbits that are induced by Levi subgroups with twobytwo distinct blocks. In this case, the contribution is remarkably given by a global unipotent weighted orbital integral. As a corollary, we get integral formulas for some of Arthur's global coefficients. We also present a new construction of Arthur's local unipotent weighted orbital integral.
 Publication:

arXiv eprints
 Pub Date:
 November 2014
 arXiv:
 arXiv:1411.3005
 Bibcode:
 2014arXiv1411.3005C
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Number Theory
 EPrint:
 in French