Weil representation and β -extensions

Corinne Blondel[1]

  • [1] C.N.R.S. - Institut de Mathématiques de Jussieu - UMR 7586 Université Paris 7 Groupes, représentations et géométrie - Case 7012 75205 Paris Cedex 13 (France)

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 4, page 1319-1366
  • ISSN: 0373-0956

Abstract

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We study β -extensions in a p -adic classical group and we produce a relation between some β -extensions by means of a Weil representation. We apply this to the study of reducibility points of some parabolically induced representations.

How to cite

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Blondel, Corinne. "Représentation de Weil et $\beta $-extensions." Annales de l’institut Fourier 62.4 (2012): 1319-1366. <http://eudml.org/doc/251112>.

@article{Blondel2012,
abstract = {Nous étudions les $\beta $-extensions dans un groupe classique $p$-adique et obtenons une relation entre certaines $\beta $-extensions à l’aide d’une représentation de Weil. Nous en donnons une application à l’étude des points de réductibilité de certaines induites paraboliques.},
affiliation = {C.N.R.S. - Institut de Mathématiques de Jussieu - UMR 7586 Université Paris 7 Groupes, représentations et géométrie - Case 7012 75205 Paris Cedex 13 (France)},
author = {Blondel, Corinne},
journal = {Annales de l’institut Fourier},
keywords = {Local non-archimedean field; classical group; Weil representation; beta-extension; semi-simple type; semi-simple character; cover; Hecke algebra; reducibility points},
language = {fre},
number = {4},
pages = {1319-1366},
publisher = {Association des Annales de l’institut Fourier},
title = {Représentation de Weil et $\beta $-extensions},
url = {http://eudml.org/doc/251112},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Blondel, Corinne
TI - Représentation de Weil et $\beta $-extensions
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 4
SP - 1319
EP - 1366
AB - Nous étudions les $\beta $-extensions dans un groupe classique $p$-adique et obtenons une relation entre certaines $\beta $-extensions à l’aide d’une représentation de Weil. Nous en donnons une application à l’étude des points de réductibilité de certaines induites paraboliques.
LA - fre
KW - Local non-archimedean field; classical group; Weil representation; beta-extension; semi-simple type; semi-simple character; cover; Hecke algebra; reducibility points
UR - http://eudml.org/doc/251112
ER -

References

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