The Distributions in the Invariant Trace Formula Are Supported on Characters
Canadian journal of mathematics, Tome 52 (2000) no. 4, pp. 804-814

Voir la notice de l'article provenant de la source Cambridge University Press

J. Arthur put the trace formula in invariant form for all connected reductive groups and certain disconnected ones. However his work was written so as to apply to the general disconnected case, modulo two missing ingredients. This paper supplies one of those missing ingredients, namely an argument in Galois cohomology of a kind first used by D. Kazhdan in the connected case.
DOI : 10.4153/CJM-2000-034-6
Mots-clés : 22E50, 11S37, 10D40
Kottwitz, Robert E.; Rogawski, Jonathan D. The Distributions in the Invariant Trace Formula Are Supported on Characters. Canadian journal of mathematics, Tome 52 (2000) no. 4, pp. 804-814. doi: 10.4153/CJM-2000-034-6
@article{10_4153_CJM_2000_034_6,
     author = {Kottwitz, Robert E. and Rogawski, Jonathan D.},
     title = {The {Distributions} in the {Invariant} {Trace} {Formula} {Are} {Supported} on {Characters}},
     journal = {Canadian journal of mathematics},
     pages = {804--814},
     year = {2000},
     volume = {52},
     number = {4},
     doi = {10.4153/CJM-2000-034-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2000-034-6/}
}
TY  - JOUR
AU  - Kottwitz, Robert E.
AU  - Rogawski, Jonathan D.
TI  - The Distributions in the Invariant Trace Formula Are Supported on Characters
JO  - Canadian journal of mathematics
PY  - 2000
SP  - 804
EP  - 814
VL  - 52
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2000-034-6/
DO  - 10.4153/CJM-2000-034-6
ID  - 10_4153_CJM_2000_034_6
ER  - 
%0 Journal Article
%A Kottwitz, Robert E.
%A Rogawski, Jonathan D.
%T The Distributions in the Invariant Trace Formula Are Supported on Characters
%J Canadian journal of mathematics
%D 2000
%P 804-814
%V 52
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2000-034-6/
%R 10.4153/CJM-2000-034-6
%F 10_4153_CJM_2000_034_6

[Art88a] [Art88a] Arthur, J., The invariant trace formula, I. J. Amer.Math. Soc. 1(1988), 323–383. Google Scholar

[Art88b] [Art88b] Arthur, J., The invariant trace formula, II. J. Amer.Math. Soc. 1(1988), 501–554. Google Scholar

[BH78] [BH78] Borel, A. and Harder, G., Existence of discrete cocompact subgroups of reductive groups over local fields. J. Reine Angew. Math. 298(1978), 53–64. Google Scholar

[Kaz86] [Kaz86] Kazhdan, D., Cuspidal geometry of p-adic groups. J. AnalyseMath. 47(1986), 1–36. Google Scholar

[Kot82] [Kot82] Kottwitz, R., Rational conjugacy classes in reductive groups. Duke Math. J. 49(1982), 785–806. Google Scholar

[Kot84] [Kot84] Kottwitz, R., Stable trace formula: cuspidal tempered terms. Duke Math. J. 51(1984), 611–650. Google Scholar

[Lab84] [Lab84] Labesse, J.-P., Cohomologie, L-groupes et fonctorialité. Compositio Math. 55(1984), 163–184. Google Scholar

[Lan89] [Lan89] Langlands, R. P., On the classification of irreducible representations of real algebraic groups. Representation Theory and Harmonic Analysis on Semisimple Lie Groups, Math. Surveys Monographs 31, Amer.Math. Soc., Providence, RI, 1989, 101–170. Google Scholar

[Lan97] [Lan97] Langlands, R. P., Representations of abelian algebraic groups. Olga Taussky-Todd: in memoriam, Special Issue, Pacific J. Math. (1997), 231–250. Google Scholar

[Mil86] [Mil86] Milne, J. S., Arithmetic duality theorems. Perspectives in Math. 1, Academic Press, 1986. Google Scholar

[San81] [San81] Sansuc, J.-J., Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres. J. Reine Angew. Math. 327(1981), 12–80. Google Scholar

Cité par Sources :