Details

Autor(en) / Beteiligte

• Heiermann, Volker
• Opdam, Eric

Titel

ON THE TEMPERED L-FUNCTIONS CONJECTURE

Ist Teil von

• American journal of mathematics, 2013-06, Vol.135 (3), p.777-799

Ort / Verlag

Baltimore: Johns Hopkins University Press

Erscheinungsjahr

2013

Link zum Volltext

Quelle

Electronic Journals Library

Beschreibungen/Notizen

• We give a general proof of Shahidi's tempered L-function conjecture, which has previously been known in all but one case. One of the consequences is the standard module conjecture for p-adic groups, which means that the Langlands quotient of a standard module is generic if and only if the standard module is irreducible and the inducing data generic. We have also included the result that every generic tempered representation of a p-adic group is a sub-representation of a representation parabolically induced from a generic supercuspidal representation with a non-negative real central character.