Exponents in Archimedean Arthur packets

Nicolas Bergeron[1]; Laurent Clozel[2]

  • [1] Université Pierre et Marie Curie Institut de Mathématiques de Jussieu Unité Mixte de Recherche 7586 du CNRS 4, place Jussieu 75252 Paris Cedex 05 (France)
  • [2] Université Paris Sud Unité Mixte de Recherche 8628 du CNRS Laboratoire de Mathématiques Bâtiment 425 91405 Orsay cedex (France)

Annales de l’institut Fourier (2013)

  • Volume: 63, Issue: 1, page 113-154
  • ISSN: 0373-0956

Abstract

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Generalizing the proof – by Hecht and Schmid – of Osborne’s conjecture we prove an Archimedean (and weaker) version of a theorem of Colette Moeglin. The result we obtain is a precise Archimedean version of the general principle – stated by the second author – according to which a local Arthur packet contains the corresponding local L -packet and representations which are more tempered.

How to cite

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Bergeron, Nicolas, and Clozel, Laurent. "Exponents in Archimedean Arthur packets." Annales de l’institut Fourier 63.1 (2013): 113-154. <http://eudml.org/doc/275535>.

@article{Bergeron2013,
abstract = {Generalizing the proof – by Hecht and Schmid – of Osborne’s conjecture we prove an Archimedean (and weaker) version of a theorem of Colette Moeglin. The result we obtain is a precise Archimedean version of the general principle – stated by the second author – according to which a local Arthur packet contains the corresponding local $L$-packet and representations which are more tempered.},
affiliation = {Université Pierre et Marie Curie Institut de Mathématiques de Jussieu Unité Mixte de Recherche 7586 du CNRS 4, place Jussieu 75252 Paris Cedex 05 (France); Université Paris Sud Unité Mixte de Recherche 8628 du CNRS Laboratoire de Mathématiques Bâtiment 425 91405 Orsay cedex (France)},
author = {Bergeron, Nicolas, Clozel, Laurent},
journal = {Annales de l’institut Fourier},
keywords = {Représentations unitaires; exposants; conjecture d’Osborne; paquets d’Arthur; unitary representations; exponents; Osborne conjecture; Arthur packet},
language = {eng},
number = {1},
pages = {113-154},
publisher = {Association des Annales de l’institut Fourier},
title = {Exponents in Archimedean Arthur packets},
url = {http://eudml.org/doc/275535},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Bergeron, Nicolas
AU - Clozel, Laurent
TI - Exponents in Archimedean Arthur packets
JO - Annales de l’institut Fourier
PY - 2013
PB - Association des Annales de l’institut Fourier
VL - 63
IS - 1
SP - 113
EP - 154
AB - Generalizing the proof – by Hecht and Schmid – of Osborne’s conjecture we prove an Archimedean (and weaker) version of a theorem of Colette Moeglin. The result we obtain is a precise Archimedean version of the general principle – stated by the second author – according to which a local Arthur packet contains the corresponding local $L$-packet and representations which are more tempered.
LA - eng
KW - Représentations unitaires; exposants; conjecture d’Osborne; paquets d’Arthur; unitary representations; exponents; Osborne conjecture; Arthur packet
UR - http://eudml.org/doc/275535
ER -

References

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