Standard Module Conjecture

Details Standard Module Conjecture Standard Module Conjecture

2006-03-16

arxiv.org/abs/math/0603395v1

Mathematics

Representation Theory

8 pages

Scientific paper

Let G be a quasi-split p-adic group. Under the assumption that the local coefficients $C_{\psi}$ defined with respect to $\psi $-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.

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