Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-28T04:34:27.024Z Has data issue: false hasContentIssue false
  • English
  • Français

The Distributions in the Invariant Trace Formula Are Supported on Characters

Published online by Cambridge University Press:  20 November 2018

Robert E. Kottwitz  and
Jonathan D. Rogawski
Robert E. Kottwitz
Affiliation:
Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, Illinois 60637, USA email: [email protected]
Jonathan D. Rogawski
Affiliation:
Department of Mathematics, University of California, Los Angeles, California 90095, USA email: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

22E5011S3710D40
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 52 , Issue 4 , 01 August 2000 , pp. 804 - 814
Copyright
Copyright © Canadian Mathematical Society 2000

References

[Art88a] Arthur, J., The invariant trace formula, I. J. Amer.Math. Soc. 1(1988), 323–383.Google Scholar
[Art88b] Arthur, J., The invariant trace formula, II. J. Amer.Math. Soc. 1(1988), 501–554.Google Scholar
[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] Kazhdan, D., Cuspidal geometry of p-adic groups. J. AnalyseMath. 47(1986), 1–36.Google Scholar
[Kot82] Kottwitz, R., Rational conjugacy classes in reductive groups. Duke Math. J. 49(1982), 785–806.Google Scholar
[Kot84] Kottwitz, R., Stable trace formula: cuspidal tempered terms. Duke Math. J. 51(1984), 611–650.Google Scholar
[Lab84] Labesse, J.-P., Cohomologie, L-groupes et fonctorialité. Compositio Math. 55(1984), 163–184.Google Scholar
[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] Langlands, R. P., Representations of abelian algebraic groups. Olga Taussky-Todd: in memoriam, Special Issue, Pacific J. Math. (1997), 231–250.Google Scholar
[Mil86] Milne, J. S., Arithmetic duality theorems. Perspectives in Math. 1, Academic Press, 1986.Google Scholar
[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