Abstract

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.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 777-799
Launched on MUSE
2013-05-30
Open Access
No
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