Principe de densité pour les groupes réductifs

FRANÇOIS SAUVAGEOT

doi:10.1023/A:1000216412619

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.

The main goal of this Letter is to give a new proof of a result conjectured by D. De George and N. Wallach and proved by P. Delorme and to extend it to the $S$-arithmetic setting. The proof is based on a density principle.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Bushnell, Colin Henniart, Guy and Kutzko, Philip 1998. Local Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}: Explicit conductor formula. Journal of the American Mathematical Society, Vol. 11, Issue. 3, p. 703.

Bushnell, Colin J. and Henniart, Guy 2001. Sur le comportement, par torsion, des facteurs epsilon de paires. Canadian Journal of Mathematics, Vol. 53, Issue. 6, p. 1141.

KONNO, Takuya 2003. A NOTE ON THE LANGLANDS CLASSIFICATION AND IRREDUCIBILITY OF INDUCED REPRESENTATIONS OF p-ADIC GROUPS. Kyushu Journal of Mathematics, Vol. 57, Issue. 2, p. 383.

Dat, J.-F. 2005. ν-tempered representations of p-adic groups, I: l-adic case. Duke Mathematical Journal, Vol. 126, Issue. 3,

Delorme, Patrick 2012. Théorème de Paley—Wiener pour les fonctions de Whittaker sur un groupe réductif p-adique. Journal of the Institute of Mathematics of Jussieu, Vol. 11, Issue. 3, p. 501.

Shin, Sug Woo 2012. Automorphic Plancherel density theorem. Israel Journal of Mathematics, Vol. 192, Issue. 1, p. 83.

Kowalski, Emmanuel Saha, Abhishek and Tsimerman, Jacob 2012. Local spectral equidistribution for Siegel modular forms and applications. Compositio Mathematica, Vol. 148, Issue. 2, p. 335.

Carmona, Jacques and Delorme, Patrick 2014. Constant term of Eisenstein integrals on a reductive 𝑝-adic symmetric space. Transactions of the American Mathematical Society, Vol. 366, Issue. 10, p. 5323.

Shin, Sug Woo and Templier, Nicolas 2014. On fields of rationality for automorphic representations. Compositio Mathematica, Vol. 150, Issue. 12, p. 2003.

Chen, Fulin and Sun, Binyong 2015. Uniqueness of Rankin–Selberg Periods. International Mathematics Research Notices, Vol. 2015, Issue. 14, p. 5849.

Arias-de-Reyna, Sara Dieulefait, Luis V. Shin, Sug Woo and Wiese, Gabor 2015. Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties. Mathematische Annalen, Vol. 361, Issue. 3-4, p. 909.

Finis, Tobias Lapid, Erez and Müller, Werner 2015. LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF AND. Journal of the Institute of Mathematics of Jussieu, Vol. 14, Issue. 3, p. 589.

Müller, Werner 2016. Families of Automorphic Forms and the Trace Formula. p. 477.

Shin, Sug Woo and Templier, Nicolas 2016. Sato–Tate theorem for families and low-lying zeros of automorphic $$L$$ L -functions. Inventiones mathematicae, Vol. 203, Issue. 1, p. 1.

Binder, John 2016. Refined Limit Multiplicity for Varying Conductor. International Mathematics Research Notices, p. rnw205.

Matz, Jasmin 2016. Families of Automorphic Forms and the Trace Formula. p. 327.

Abert, Miklos Bergeron, Nicolas Biringer, Ian Gelander, Tsachik Nikolav, Nikolay Raimbault, Jean and Samet, Iddo 2017. On the growth of $L^2$-invariants for sequences of lattices in Lie groups. Annals of Mathematics, Vol. 185, Issue. 3,

Ganapathy, Radhika and Varma, Sandeep 2017. ON THE LOCAL LANGLANDS CORRESPONDENCE FOR SPLIT CLASSICAL GROUPS OVER LOCAL FUNCTION FIELDS. Journal of the Institute of Mathematics of Jussieu, Vol. 16, Issue. 5, p. 987.

Binder, John 2017. Fields of rationality of cusp forms. Israel Journal of Mathematics, Vol. 222, Issue. 2, p. 973.

Finis, Tobias and Lapid, Erez 2018. An approximation principle for congruence subgroups II: application to the limit multiplicity problem. Mathematische Zeitschrift, Vol. 289, Issue. 3-4, p. 1357.

Download full list

Article contents

Principe de densité pour les groupes réductifs

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Principe de densité pour les groupes réductifs

Abstract

Keywords

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests