Standard Module Conjecture
Representation Theory
2007-05-23 v1 Number Theory
Abstract
Let G be a quasi-split p-adic group. Under the assumption that the local coefficients defined with respect to -generic tempered representations of standard Levi subgroups of G are regular in the negative Weyl chamber, we show that the standard module conjecture is true, which means that the Langlands quotient of a standard module is generic if and only if the standard module is irreducible.
Cite
@article{arxiv.math/0603395,
title = {Standard Module Conjecture},
author = {V. Heiermann and G. Muic},
journal= {arXiv preprint arXiv:math/0603395},
year = {2007}
}
Comments
8 pages