Représentation de Weil et β-extensions
[Weil representation and β-extensions]
Annales de l'Institut Fourier, Volume 62 (2012) no. 4, pp. 1319-1366.

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.

Nous étudions les β-extensions dans un groupe classique p-adique et obtenons une relation entre certaines β-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.

DOI: 10.5802/aif.2724
Classification: 22E50
Keywords: Local non-archimedean field, classical group, Weil representation, beta-extension, semi-simple type, semi-simple character, cover, Hecke algebra, reducibility points.
Blondel, Corinne 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)
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Blondel, Corinne. Représentation de Weil et $\beta $-extensions. Annales de l'Institut Fourier, Volume 62 (2012) no. 4, pp. 1319-1366. doi : 10.5802/aif.2724. https://aif.centre-mersenne.org/articles/10.5802/aif.2724/

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